Verified Answer :

HomertheGenius

2 : 3 = x : 6
x · 3 = 2 · 6
x = 12 : 3
x = 4
We have second part of a proportion:
4 : 6 = 9 : y
y · 4 = 9 · 6
y = 54 : 4 = 13.5
Answer: we must divide 54 by 4.

calculista

Answer:

You must divide \(54\) by \(4\)

Step-by-step explanation:

we have

\(\frac{2}{3}=\frac{x}{6}=\frac{9}{y}\)

Step 1

Solve for x

\(\frac{2}{3}=\frac{x}{6}\)

\(3x=6*2\\x=12/3\\x=4\)

Step 2

Find the value of y

\(\frac{x}{6}=\frac{9}{y}\)

Substitute the value of x

\(\frac{4}{6}=\frac{9}{y}\)

\(4y=9*6\\y=54/4\\y= 13.5\)

therefore

You must divide \(54\) by \(4\)