The equation for this reaction is balanced. It tells us that 3 moles of ammonium chloride are produced from 1 mole of iron(III) chloride, a 3/1 molar ratio of NH4Cl/FeCl3. We can use this as a conversion factor.
(6.4 moles NH4Cl) is divided by 3NH4Cl/1FeCl3 to yield (1/3)*(6.4) moles FeCl3 or 2.1 moles FeCl3, to 2 sig figs.
Note: I dislike division since it is both harder to see the written equation: (6.4 moles NH4Cl)/(3NH4Cl/1FeCl3),
and because it is more difficult predicting the answer (for me).
Since the 3/1 molar ratio is a conversion factor, we can simply invert it to: (1 FeCl3/3NH4Cl) and then multiply:
(6.4 moles NH4Cl)*((1 FeCl3/3NH4Cl) = 2.1 moles FeCl3.