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Finding the Fourth Proportional to 9,634.72, 13,294.20 and 5,857.12

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Solution

The fourth proportional to 9,634.72, 13,294.20 and 5,857.12 is: 8,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.72 : 13,294.20 = 5,857.12 : x
  2. Step 2: Convert to fraction form
    9,634.72/13,294.20 = 5,857.12/x
  3. Step 3: Cross multiply
    9,634.72x = 13,294.20 × 5,857.12
  4. Step 4: Simplify right side
    9,634.72x = 77,865,724.70
  5. Step 5: Solve for x
    x = 77,865,724.70/9,634.72
  6. Step 6: Final answer
    x = 8,081.78

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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.