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Finding the Fourth Proportional to 8,711.64, 12,028.14 and 6,691.68

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Solution

The fourth proportional to 8,711.64, 12,028.14 and 6,691.68 is: 9,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.64 : 12,028.14 = 6,691.68 : x
  2. Step 2: Convert to fraction form
    8,711.64/12,028.14 = 6,691.68/x
  3. Step 3: Cross multiply
    8,711.64x = 12,028.14 × 6,691.68
  4. Step 4: Simplify right side
    8,711.64x = 80,488,463.88
  5. Step 5: Solve for x
    x = 80,488,463.88/8,711.64
  6. Step 6: Final answer
    x = 9,239.19

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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.