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Finding the Fourth Proportional to 10,092.72, 13,939.64 and 6,730

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Solution

The fourth proportional to 10,092.72, 13,939.64 and 6,730 is: 9,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.72 : 13,939.64 = 6,730 : x
  2. Step 2: Convert to fraction form
    10,092.72/13,939.64 = 6,730/x
  3. Step 3: Cross multiply
    10,092.72x = 13,939.64 × 6,730
  4. Step 4: Simplify right side
    10,092.72x = 93,813,777.20
  5. Step 5: Solve for x
    x = 93,813,777.20/10,092.72
  6. Step 6: Final answer
    x = 9,295.19

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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.