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Finding the Fourth Proportional to 9,939.20, 13,730.09 and 9,414.32

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Solution

The fourth proportional to 9,939.20, 13,730.09 and 9,414.32 is: 13,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.20 : 13,730.09 = 9,414.32 : x
  2. Step 2: Convert to fraction form
    9,939.20/13,730.09 = 9,414.32/x
  3. Step 3: Cross multiply
    9,939.20x = 13,730.09 × 9,414.32
  4. Step 4: Simplify right side
    9,939.20x = 129,259,460.89
  5. Step 5: Solve for x
    x = 129,259,460.89/9,939.20
  6. Step 6: Final answer
    x = 13,005.02

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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.