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Finding the Fourth Proportional to 8,229.20, 12,345.60 and 3,297.60

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Solution

The fourth proportional to 8,229.20, 12,345.60 and 3,297.60 is: 4,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.20 : 12,345.60 = 3,297.60 : x
  2. Step 2: Convert to fraction form
    8,229.20/12,345.60 = 3,297.60/x
  3. Step 3: Cross multiply
    8,229.20x = 12,345.60 × 3,297.60
  4. Step 4: Simplify right side
    8,229.20x = 40,710,850.56
  5. Step 5: Solve for x
    x = 40,710,850.56/8,229.20
  6. Step 6: Final answer
    x = 4,947.12

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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.