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3 people put in money one put 9,000 one put 7,000 one put 4,000 profit was 4,800 how much would the one who put 4,000 get of profit

I really need help with this word problem. I am totally stumped.I realize 

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Mona B. | Experienced K-6 Teacher for Math, Reading, Writing, and OrganizationExperienced K-6 Teacher for Math, Readin...
5.0 5.0 (22 lesson ratings) (22)
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So we start with the total amount and find out the proportion that each person invested -

Total amount - 9,000 + 7,000 + 4,000 = 20,000
 
Then we find out what proportion each one put in
 
9,000/20,000 = 45% or 0.45
7,000/20,000 = 35% or 0.35
4,000/20,000 = 20% or 0.20
 
It's a good idea to make sure your 3 figures add up to 100% or 1.00 before you go further!
 
Then, when you know that the third person put in 20% or 0.20 of the investment, then that person should also get 20% or 0.20 of the profit. So you multiply the profit by the decimal amount:
 
4,800 * 0.20 = $960
 
If you really wanted to be thorough, you could calculate everyone's share to make sure it adds up to the total profit.
 
Amarjeet K. | Professional Engineer for Math and Science TuroringProfessional Engineer for Math and Scien...
4.6 4.6 (8 lesson ratings) (8)
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Profit must be shared in the ratio of investment
 
i.e. 9:7:4
 
Total profit = 4800
Split 4800 in 9:7:4 ratio
 
9x + 7x + 4x = 4800
20x = 4800
x= 240
 
Person investing 4000 will get 4x profit = 4 x 240 = 960
:)