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Finding the Fourth Proportional to 6,253.28, 9,361.20 and 3,780.62

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Solution

The fourth proportional to 6,253.28, 9,361.20 and 3,780.62 is: 5,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.28 : 9,361.20 = 3,780.62 : x
  2. Step 2: Convert to fraction form
    6,253.28/9,361.20 = 3,780.62/x
  3. Step 3: Cross multiply
    6,253.28x = 9,361.20 × 3,780.62
  4. Step 4: Simplify right side
    6,253.28x = 35,391,093.14
  5. Step 5: Solve for x
    x = 35,391,093.14/6,253.28
  6. Step 6: Final answer
    x = 5,659.61

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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.