Write the ratio 12: 9 as an equivalent ratio of 4: r. Write your answer as a complete ratio. (1 point)

Answer 1

To find the value of \( r \) in the ratio \( 4:r \) that is equivalent to the ratio \( 12:9 \), we can set up a proportion:

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

Now, cross-multiply to solve for \( r \):

\[ 12r = 4 \times 9 \]

Calculating the right side:

\[ 12r = 36 \]

Now divide both sides by 12 to find \( r \):

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

Thus, the equivalent ratio is:

\[ 4:3 \]

So, the final answer is:

\[ \text{4:3} \]