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Finding the Fourth Proportional to 6,262.91, 8,642.49 and 3,429.76

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Solution

The fourth proportional to 6,262.91, 8,642.49 and 3,429.76 is: 4,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.91 : 8,642.49 = 3,429.76 : x
  2. Step 2: Convert to fraction form
    6,262.91/8,642.49 = 3,429.76/x
  3. Step 3: Cross multiply
    6,262.91x = 8,642.49 × 3,429.76
  4. Step 4: Simplify right side
    6,262.91x = 29,641,666.50
  5. Step 5: Solve for x
    x = 29,641,666.50/6,262.91
  6. Step 6: Final answer
    x = 4,732.89

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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.