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Finding the Fourth Proportional to 6,337.98, 8,744.28 and 4,102.68

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Solution

The fourth proportional to 6,337.98, 8,744.28 and 4,102.68 is: 5,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.98 : 8,744.28 = 4,102.68 : x
  2. Step 2: Convert to fraction form
    6,337.98/8,744.28 = 4,102.68/x
  3. Step 3: Cross multiply
    6,337.98x = 8,744.28 × 4,102.68
  4. Step 4: Simplify right side
    6,337.98x = 35,874,982.67
  5. Step 5: Solve for x
    x = 35,874,982.67/6,337.98
  6. Step 6: Final answer
    x = 5,660.32

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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.