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Finding the Fourth Proportional to 8,909.50, 12,295.14 and 5,372.86

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Solution

The fourth proportional to 8,909.50, 12,295.14 and 5,372.86 is: 7,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.50 : 12,295.14 = 5,372.86 : x
  2. Step 2: Convert to fraction form
    8,909.50/12,295.14 = 5,372.86/x
  3. Step 3: Cross multiply
    8,909.50x = 12,295.14 × 5,372.86
  4. Step 4: Simplify right side
    8,909.50x = 66,060,065.90
  5. Step 5: Solve for x
    x = 66,060,065.90/8,909.50
  6. Step 6: Final answer
    x = 7,414.56

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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.