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Finding the Fourth Proportional to 6,864.57, 9,469.92 and 4,031.03

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Solution

The fourth proportional to 6,864.57, 9,469.92 and 4,031.03 is: 5,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.57 : 9,469.92 = 4,031.03 : x
  2. Step 2: Convert to fraction form
    6,864.57/9,469.92 = 4,031.03/x
  3. Step 3: Cross multiply
    6,864.57x = 9,469.92 × 4,031.03
  4. Step 4: Simplify right side
    6,864.57x = 38,173,484.27
  5. Step 5: Solve for x
    x = 38,173,484.27/6,864.57
  6. Step 6: Final answer
    x = 5,560.94

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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.