Respuesta :

ANSWER

72 : 32 = 9 : 4

STEP-BY-STEP EXPLANATION

Let the missing value be x

Hence, the proportion becomes x : 32 = 9 : 4

ratio means division

Mathematically, we have the below expression

[tex]\begin{gathered} \frac{x}{32}\text{ = }\frac{9}{4} \\ \text{Cross multiply} \\ 4\cdot\text{ x = 32 }\cdot\text{ 9} \\ 4x\text{ = 288} \\ \text{Divide both sides by 4} \\ \frac{4x}{4}\text{ = }\frac{288}{4} \\ x\text{ = 72} \end{gathered}[/tex]

Since the value of x is 72

Therefore, 72 : 32 = 9 : 4