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Finding the Fourth Proportional to 9,909.76, 14,854.14 and 3,665.76

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Solution

The fourth proportional to 9,909.76, 14,854.14 and 3,665.76 is: 5,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.76 : 14,854.14 = 3,665.76 : x
  2. Step 2: Convert to fraction form
    9,909.76/14,854.14 = 3,665.76/x
  3. Step 3: Cross multiply
    9,909.76x = 14,854.14 × 3,665.76
  4. Step 4: Simplify right side
    9,909.76x = 54,451,712.25
  5. Step 5: Solve for x
    x = 54,451,712.25/9,909.76
  6. Step 6: Final answer
    x = 5,494.76

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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.