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Finding the Fourth Proportional to 6,462.42, 9,686.12 and 3,691.04

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Solution

The fourth proportional to 6,462.42, 9,686.12 and 3,691.04 is: 5,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.42 : 9,686.12 = 3,691.04 : x
  2. Step 2: Convert to fraction form
    6,462.42/9,686.12 = 3,691.04/x
  3. Step 3: Cross multiply
    6,462.42x = 9,686.12 × 3,691.04
  4. Step 4: Simplify right side
    6,462.42x = 35,751,789.48
  5. Step 5: Solve for x
    x = 35,751,789.48/6,462.42
  6. Step 6: Final answer
    x = 5,532.26

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Why These Related Problems?

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