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Finding the Fourth Proportional to 9,295.20, 13,876.80 and 8,906.40

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Solution

The fourth proportional to 9,295.20, 13,876.80 and 8,906.40 is: 13,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.20 : 13,876.80 = 8,906.40 : x
  2. Step 2: Convert to fraction form
    9,295.20/13,876.80 = 8,906.40/x
  3. Step 3: Cross multiply
    9,295.20x = 13,876.80 × 8,906.40
  4. Step 4: Simplify right side
    9,295.20x = 123,592,331.52
  5. Step 5: Solve for x
    x = 123,592,331.52/9,295.20
  6. Step 6: Final answer
    x = 13,296.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.