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Finding the Fourth Proportional to 6,456.16, 9,686.13 and 3,337.93

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Solution

The fourth proportional to 6,456.16, 9,686.13 and 3,337.93 is: 5,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.16 : 9,686.13 = 3,337.93 : x
  2. Step 2: Convert to fraction form
    6,456.16/9,686.13 = 3,337.93/x
  3. Step 3: Cross multiply
    6,456.16x = 9,686.13 × 3,337.93
  4. Step 4: Simplify right side
    6,456.16x = 32,331,623.91
  5. Step 5: Solve for x
    x = 32,331,623.91/6,456.16
  6. Step 6: Final answer
    x = 5,007.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.