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Finding the Fourth Proportional to 9,859.27, 13,605.92 and 5,882.68

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Solution

The fourth proportional to 9,859.27, 13,605.92 and 5,882.68 is: 8,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.27 : 13,605.92 = 5,882.68 : x
  2. Step 2: Convert to fraction form
    9,859.27/13,605.92 = 5,882.68/x
  3. Step 3: Cross multiply
    9,859.27x = 13,605.92 × 5,882.68
  4. Step 4: Simplify right side
    9,859.27x = 80,039,273.47
  5. Step 5: Solve for x
    x = 80,039,273.47/9,859.27
  6. Step 6: Final answer
    x = 8,118.17

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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.