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Finding the Fourth Proportional to 9,387.82, 12,952.74 and 5,609.32

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Solution

The fourth proportional to 9,387.82, 12,952.74 and 5,609.32 is: 7,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.82 : 12,952.74 = 5,609.32 : x
  2. Step 2: Convert to fraction form
    9,387.82/12,952.74 = 5,609.32/x
  3. Step 3: Cross multiply
    9,387.82x = 12,952.74 × 5,609.32
  4. Step 4: Simplify right side
    9,387.82x = 72,656,063.54
  5. Step 5: Solve for x
    x = 72,656,063.54/9,387.82
  6. Step 6: Final answer
    x = 7,739.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.