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Finding the Fourth Proportional to 8,862.14, 13,280.78 and 6,385.30

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Solution

The fourth proportional to 8,862.14, 13,280.78 and 6,385.30 is: 9,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.14 : 13,280.78 = 6,385.30 : x
  2. Step 2: Convert to fraction form
    8,862.14/13,280.78 = 6,385.30/x
  3. Step 3: Cross multiply
    8,862.14x = 13,280.78 × 6,385.30
  4. Step 4: Simplify right side
    8,862.14x = 84,801,764.53
  5. Step 5: Solve for x
    x = 84,801,764.53/8,862.14
  6. Step 6: Final answer
    x = 9,568.99

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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.