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Finding the Fourth Proportional to 6,262.97, 8,642.54 and 3,429.78

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Solution

The fourth proportional to 6,262.97, 8,642.54 and 3,429.78 is: 4,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.97 : 8,642.54 = 3,429.78 : x
  2. Step 2: Convert to fraction form
    6,262.97/8,642.54 = 3,429.78/x
  3. Step 3: Cross multiply
    6,262.97x = 8,642.54 × 3,429.78
  4. Step 4: Simplify right side
    6,262.97x = 29,641,993.69
  5. Step 5: Solve for x
    x = 29,641,993.69/6,262.97
  6. Step 6: Final answer
    x = 4,732.90

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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.