15:6:4 means that there are 15 + 6 + 4 = 25 total parts.
15000/25 = 600 times the 25 parts occur.
There are 9 more 5 than 6 each time the 25 parts occur. 9(600) = 5400 more.
Let's check. 15(600) = 9000. 6(600) = 3600. 4(600) = 2400. The three together equal 15,000 and 9000 - 3600 = 5400.
Boom.