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Finding the Fourth Proportional to 9,081.97, 12,534.24 and 5,103

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Solution

The fourth proportional to 9,081.97, 12,534.24 and 5,103 is: 7,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.97 : 12,534.24 = 5,103 : x
  2. Step 2: Convert to fraction form
    9,081.97/12,534.24 = 5,103/x
  3. Step 3: Cross multiply
    9,081.97x = 12,534.24 × 5,103
  4. Step 4: Simplify right side
    9,081.97x = 63,962,245.86
  5. Step 5: Solve for x
    x = 63,962,245.86/9,081.97
  6. Step 6: Final answer
    x = 7,042.77

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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.