Write the ratio 12:9

Question

as an equivalent ratio of 4:x
. Write your answer as a complete ratio. (1 point)

Answer 1

To find the equivalent ratio of \( 12:9 \) in the form \( 4:x \), we can set up a proportion:

\[ \frac{12}{9} = \frac{4}{x} \]

Now we can cross-multiply:

\[ 12x = 4 \times 9 \]

Calculating the right side gives:

\[ 12x = 36 \]

Next, we solve for \( x \) by dividing both sides by 12:

\[ x = \frac{36}{12} = 3 \]

Now we can express the ratio \( 4:x \) as \( 4:3 \).

Thus, the equivalent ratio is:

\[ \boxed{4:3} \]