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Finding the Fourth Proportional to 8,862.82, 12,228.96 and 6,737.80

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Solution

The fourth proportional to 8,862.82, 12,228.96 and 6,737.80 is: 9,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.82 : 12,228.96 = 6,737.80 : x
  2. Step 2: Convert to fraction form
    8,862.82/12,228.96 = 6,737.80/x
  3. Step 3: Cross multiply
    8,862.82x = 12,228.96 × 6,737.80
  4. Step 4: Simplify right side
    8,862.82x = 82,396,286.69
  5. Step 5: Solve for x
    x = 82,396,286.69/8,862.82
  6. Step 6: Final answer
    x = 9,296.85

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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.