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Finding the Fourth Proportional to 6,441.45, 9,660.15 and 3,972.57

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Solution

The fourth proportional to 6,441.45, 9,660.15 and 3,972.57 is: 5,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.45 : 9,660.15 = 3,972.57 : x
  2. Step 2: Convert to fraction form
    6,441.45/9,660.15 = 3,972.57/x
  3. Step 3: Cross multiply
    6,441.45x = 9,660.15 × 3,972.57
  4. Step 4: Simplify right side
    6,441.45x = 38,375,622.09
  5. Step 5: Solve for x
    x = 38,375,622.09/6,441.45
  6. Step 6: Final answer
    x = 5,957.61

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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.