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Finding the Fourth Proportional to 6,864.52, 9,472.81 and 4,031.84

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Solution

The fourth proportional to 6,864.52, 9,472.81 and 4,031.84 is: 5,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.52 : 9,472.81 = 4,031.84 : x
  2. Step 2: Convert to fraction form
    6,864.52/9,472.81 = 4,031.84/x
  3. Step 3: Cross multiply
    6,864.52x = 9,472.81 × 4,031.84
  4. Step 4: Simplify right side
    6,864.52x = 38,192,854.27
  5. Step 5: Solve for x
    x = 38,192,854.27/6,864.52
  6. Step 6: Final answer
    x = 5,563.81

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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.