Answer
m=$\frac{9}{2}$
Work Step by Step
In order to solve for x in the equation $\frac{4}{3}$=$\frac{6}{m}$ we will apply the Cross Products Property of a Proportion that says that if
$\frac{a}{b}$=$\frac{c}{d}$, where b$\ne$0 and d$\ne$0, then ad=bc. If we set a=4, b=3, c=6, and d=m, then we'll apply this property.
(4)(m)=(3)(6)
4m=18
Then, to solve for m, we'll divide by 4 on both sides of the equation
$\frac{4m}{4}$=$\frac{18}{4}$
m=$\frac{18}{4}$=$\frac{9}{2}$
