Write the ratio 12:9 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 of \(4:x\), we can set up the following proportion:

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

Now, we can cross-multiply to solve for \(x\):

\[ 12x = 9 \cdot 4 \]

Calculating the right side:

\[ 12x = 36 \]

Now, divide both sides by 12:

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

Now that we have \(x\), we can write the complete ratio:

\[ 4:x = 4:3 \]

Thus, the equivalent ratio of \(12:9\) is \(\boxed{4:3}\).