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Finding the Fourth Proportional to 6,864.17, 9,472.61 and 3,720.38

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Solution

The fourth proportional to 6,864.17, 9,472.61 and 3,720.38 is: 5,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.17 : 9,472.61 = 3,720.38 : x
  2. Step 2: Convert to fraction form
    6,864.17/9,472.61 = 3,720.38/x
  3. Step 3: Cross multiply
    6,864.17x = 9,472.61 × 3,720.38
  4. Step 4: Simplify right side
    6,864.17x = 35,241,690.19
  5. Step 5: Solve for x
    x = 35,241,690.19/6,864.17
  6. Step 6: Final answer
    x = 5,134.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.