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Finding the Fourth Proportional to 10,327.26, 15,490.92 and 9,801.38

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Solution

The fourth proportional to 10,327.26, 15,490.92 and 9,801.38 is: 14,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.26 : 15,490.92 = 9,801.38 : x
  2. Step 2: Convert to fraction form
    10,327.26/15,490.92 = 9,801.38/x
  3. Step 3: Cross multiply
    10,327.26x = 15,490.92 × 9,801.38
  4. Step 4: Simplify right side
    10,327.26x = 151,832,393.47
  5. Step 5: Solve for x
    x = 151,832,393.47/10,327.26
  6. Step 6: Final answer
    x = 14,702.10

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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.