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Finding the Fourth Proportional to 6,348.44, 9,517.21 and 3,063.85

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Solution

The fourth proportional to 6,348.44, 9,517.21 and 3,063.85 is: 4,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.44 : 9,517.21 = 3,063.85 : x
  2. Step 2: Convert to fraction form
    6,348.44/9,517.21 = 3,063.85/x
  3. Step 3: Cross multiply
    6,348.44x = 9,517.21 × 3,063.85
  4. Step 4: Simplify right side
    6,348.44x = 29,159,272.41
  5. Step 5: Solve for x
    x = 29,159,272.41/6,348.44
  6. Step 6: Final answer
    x = 4,593.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.