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Finding the Fourth Proportional to 6,171.97, 8,517.33 and 3,377.47

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Solution

The fourth proportional to 6,171.97, 8,517.33 and 3,377.47 is: 4,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.97 : 8,517.33 = 3,377.47 : x
  2. Step 2: Convert to fraction form
    6,171.97/8,517.33 = 3,377.47/x
  3. Step 3: Cross multiply
    6,171.97x = 8,517.33 × 3,377.47
  4. Step 4: Simplify right side
    6,171.97x = 28,767,009.67
  5. Step 5: Solve for x
    x = 28,767,009.67/6,171.97
  6. Step 6: Final answer
    x = 4,660.91

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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.