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Finding the Fourth Proportional to 9,711.32, 14,567.71 and 2,691.25

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Solution

The fourth proportional to 9,711.32, 14,567.71 and 2,691.25 is: 4,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.32 : 14,567.71 = 2,691.25 : x
  2. Step 2: Convert to fraction form
    9,711.32/14,567.71 = 2,691.25/x
  3. Step 3: Cross multiply
    9,711.32x = 14,567.71 × 2,691.25
  4. Step 4: Simplify right side
    9,711.32x = 39,205,349.54
  5. Step 5: Solve for x
    x = 39,205,349.54/9,711.32
  6. Step 6: Final answer
    x = 4,037.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.