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Finding the Fourth Proportional to 6,294.91, 8,687.39 and 4,166.77

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Solution

The fourth proportional to 6,294.91, 8,687.39 and 4,166.77 is: 5,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.91 : 8,687.39 = 4,166.77 : x
  2. Step 2: Convert to fraction form
    6,294.91/8,687.39 = 4,166.77/x
  3. Step 3: Cross multiply
    6,294.91x = 8,687.39 × 4,166.77
  4. Step 4: Simplify right side
    6,294.91x = 36,198,356.03
  5. Step 5: Solve for x
    x = 36,198,356.03/6,294.91
  6. Step 6: Final answer
    x = 5,750.42

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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.