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Finding the Fourth Proportional to 9,227.80, 13,841.70 and 8,863.30

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Solution

The fourth proportional to 9,227.80, 13,841.70 and 8,863.30 is: 13,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.80 : 13,841.70 = 8,863.30 : x
  2. Step 2: Convert to fraction form
    9,227.80/13,841.70 = 8,863.30/x
  3. Step 3: Cross multiply
    9,227.80x = 13,841.70 × 8,863.30
  4. Step 4: Simplify right side
    9,227.80x = 122,683,139.61
  5. Step 5: Solve for x
    x = 122,683,139.61/9,227.80
  6. Step 6: Final answer
    x = 13,294.95

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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.