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Finding the Fourth Proportional to 8,202.44, 12,278.55 and 6,627.80

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Solution

The fourth proportional to 8,202.44, 12,278.55 and 6,627.80 is: 9,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.44 : 12,278.55 = 6,627.80 : x
  2. Step 2: Convert to fraction form
    8,202.44/12,278.55 = 6,627.80/x
  3. Step 3: Cross multiply
    8,202.44x = 12,278.55 × 6,627.80
  4. Step 4: Simplify right side
    8,202.44x = 81,379,773.69
  5. Step 5: Solve for x
    x = 81,379,773.69/8,202.44
  6. Step 6: Final answer
    x = 9,921.41

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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.