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Finding the Fourth Proportional to 6,503.44, 9,753.27 and 3,729.64

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Solution

The fourth proportional to 6,503.44, 9,753.27 and 3,729.64 is: 5,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.44 : 9,753.27 = 3,729.64 : x
  2. Step 2: Convert to fraction form
    6,503.44/9,753.27 = 3,729.64/x
  3. Step 3: Cross multiply
    6,503.44x = 9,753.27 × 3,729.64
  4. Step 4: Simplify right side
    6,503.44x = 36,376,185.92
  5. Step 5: Solve for x
    x = 36,376,185.92/6,503.44
  6. Step 6: Final answer
    x = 5,593.38

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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.