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Finding the Fourth Proportional to 6,462.52, 9,686.61 and 3,342.69

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Solution

The fourth proportional to 6,462.52, 9,686.61 and 3,342.69 is: 5,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.52 : 9,686.61 = 3,342.69 : x
  2. Step 2: Convert to fraction form
    6,462.52/9,686.61 = 3,342.69/x
  3. Step 3: Cross multiply
    6,462.52x = 9,686.61 × 3,342.69
  4. Step 4: Simplify right side
    6,462.52x = 32,379,334.38
  5. Step 5: Solve for x
    x = 32,379,334.38/6,462.52
  6. Step 6: Final answer
    x = 5,010.33

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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.