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Finding the Fourth Proportional to 6,204.25, 8,562.27 and 3,847.96

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Solution

The fourth proportional to 6,204.25, 8,562.27 and 3,847.96 is: 5,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.25 : 8,562.27 = 3,847.96 : x
  2. Step 2: Convert to fraction form
    6,204.25/8,562.27 = 3,847.96/x
  3. Step 3: Cross multiply
    6,204.25x = 8,562.27 × 3,847.96
  4. Step 4: Simplify right side
    6,204.25x = 32,947,272.47
  5. Step 5: Solve for x
    x = 32,947,272.47/6,204.25
  6. Step 6: Final answer
    x = 5,310.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.