Solve the proportion for the item represented by a letter. $$ \frac{1}{3} $$ $$ \frac{1}{9} $$ $$ \frac{s}{2} \frac{2}{3} $$

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To solve the proportion for the variable $$ s $$, let's first interpret the given information correctly. It appears that you're setting up a proportion where:

$$
\frac{1}{3} : \frac{1}{9} = \frac{s}{2} : \frac{2}{3}
$$

This can be written as:

$$
\frac{\frac{1}{3}}{\frac{1}{9}} = \frac{\frac{s}{2}}{\frac{2}{3}}
$$

**Step 1: Simplify the Left Side of the Equation**

$$
\frac{\frac{1}{3}}{\frac{1}{9}} = \frac{1}{3} \times \frac{9}{1} = 3
$$

**Step 2: Simplify the Right Side of the Equation**

$$
\frac{\frac{s}{2}}{\frac{2}{3}} = \frac{s}{2} \times \frac{3}{2} = \frac{3s}{4}
$$

**Step 3: Set the Two Simplified Expressions Equal to Each Other**

$$
3 = \frac{3s}{4}
$$

**Step 4: Solve for $$ s $$**

Multiply both sides by 4 to eliminate the denominator:

$$
3 \times 4 = 3s \
12 = 3s
$$

Now, divide both sides by 3:

$$
s = \frac{12}{3} \
s = 4
$$

**Answer:** $$ s = 4 $$
$$ s = 4 $$

Solve the proportion for the item represented by a letter. \[ \frac{1}{3} \] \( \frac{1}{9} \) \( \frac{s}{2} \frac{2}{3} \)

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