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Finding the Fourth Proportional to 6,523.38, 8,960.18 and 6,398.91

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Solution

The fourth proportional to 6,523.38, 8,960.18 and 6,398.91 is: 8,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.38 : 8,960.18 = 6,398.91 : x
  2. Step 2: Convert to fraction form
    6,523.38/8,960.18 = 6,398.91/x
  3. Step 3: Cross multiply
    6,523.38x = 8,960.18 × 6,398.91
  4. Step 4: Simplify right side
    6,523.38x = 57,335,353.41
  5. Step 5: Solve for x
    x = 57,335,353.41/6,523.38
  6. Step 6: Final answer
    x = 8,789.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.