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Finding the Fourth Proportional to 6,353.48, 9,529.86 and 3,772.82

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Solution

The fourth proportional to 6,353.48, 9,529.86 and 3,772.82 is: 5,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.48 : 9,529.86 = 3,772.82 : x
  2. Step 2: Convert to fraction form
    6,353.48/9,529.86 = 3,772.82/x
  3. Step 3: Cross multiply
    6,353.48x = 9,529.86 × 3,772.82
  4. Step 4: Simplify right side
    6,353.48x = 35,954,446.41
  5. Step 5: Solve for x
    x = 35,954,446.41/6,353.48
  6. Step 6: Final answer
    x = 5,659.02

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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.