If `3/4= k/12`, then `k` is `"______"`

Options

A. 3
B. 4
C. 6
D. 9

Explanation

To solve the equation \( \frac{3}{4} = \frac{k}{12} \) for \( k \), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{3}{4} = \frac{k}{12} \]

### Step 2: Cross-multiply
To eliminate the fractions, we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction:
\[ 3 \times 12 = k \times 4 \]

### Step 3: Calculate the left side
Now, calculate \( 3 \times 12 \):
\[ 3 \times 12 = 36 \]
So, we have:
\[ 36 = k \times 4 \]

### Step 4: Solve for \( k \)
Next, we need to isolate \( k \). To do this, divide both sides of the equation by 4:
\[ k = \frac{36}{4} \]

### Step 5: Calculate \( k \)
Now, calculate \( \frac{36}{4} \):
\[ \frac{36}{4} = 9 \]

Thus, the value of \( k \) is:
\[ k = 9 \]

### Final Answer
The required value of \( k \) is \( \boxed{9} \).

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