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Finding the Fourth Proportional to 8,297.20, 12,449.40 and 3,912.40

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Solution

The fourth proportional to 8,297.20, 12,449.40 and 3,912.40 is: 5,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.20 : 12,449.40 = 3,912.40 : x
  2. Step 2: Convert to fraction form
    8,297.20/12,449.40 = 3,912.40/x
  3. Step 3: Cross multiply
    8,297.20x = 12,449.40 × 3,912.40
  4. Step 4: Simplify right side
    8,297.20x = 48,707,032.56
  5. Step 5: Solve for x
    x = 48,707,032.56/8,297.20
  6. Step 6: Final answer
    x = 5,870.30

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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.