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Finding the Fourth Proportional to 9,331.20, 12,862.80 and 8,078.40

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Solution

The fourth proportional to 9,331.20, 12,862.80 and 8,078.40 is: 11,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.20 : 12,862.80 = 8,078.40 : x
  2. Step 2: Convert to fraction form
    9,331.20/12,862.80 = 8,078.40/x
  3. Step 3: Cross multiply
    9,331.20x = 12,862.80 × 8,078.40
  4. Step 4: Simplify right side
    9,331.20x = 103,910,843.52
  5. Step 5: Solve for x
    x = 103,910,843.52/9,331.20
  6. Step 6: Final answer
    x = 11,135.85

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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.