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Finding the Fourth Proportional to 6,588.52, 9,837.65 and 5,614.12

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Solution

The fourth proportional to 6,588.52, 9,837.65 and 5,614.12 is: 8,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.52 : 9,837.65 = 5,614.12 : x
  2. Step 2: Convert to fraction form
    6,588.52/9,837.65 = 5,614.12/x
  3. Step 3: Cross multiply
    6,588.52x = 9,837.65 × 5,614.12
  4. Step 4: Simplify right side
    6,588.52x = 55,229,747.62
  5. Step 5: Solve for x
    x = 55,229,747.62/6,588.52
  6. Step 6: Final answer
    x = 8,382.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.