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Finding the Fourth Proportional to 9,909.76, 14,854.92 and 5,530.92

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Solution

The fourth proportional to 9,909.76, 14,854.92 and 5,530.92 is: 8,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.76 : 14,854.92 = 5,530.92 : x
  2. Step 2: Convert to fraction form
    9,909.76/14,854.92 = 5,530.92/x
  3. Step 3: Cross multiply
    9,909.76x = 14,854.92 × 5,530.92
  4. Step 4: Simplify right side
    9,909.76x = 82,161,374.13
  5. Step 5: Solve for x
    x = 82,161,374.13/9,909.76
  6. Step 6: Final answer
    x = 8,290.95

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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.