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Finding the Fourth Proportional to 9,589.48, 13,227.78 and 5,857

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Solution

The fourth proportional to 9,589.48, 13,227.78 and 5,857 is: 8,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.48 : 13,227.78 = 5,857 : x
  2. Step 2: Convert to fraction form
    9,589.48/13,227.78 = 5,857/x
  3. Step 3: Cross multiply
    9,589.48x = 13,227.78 × 5,857
  4. Step 4: Simplify right side
    9,589.48x = 77,475,107.46
  5. Step 5: Solve for x
    x = 77,475,107.46/9,589.48
  6. Step 6: Final answer
    x = 8,079.18

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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.