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Finding the Fourth Proportional to 8,225.62, 12,343.91 and 3,843.43

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Solution

The fourth proportional to 8,225.62, 12,343.91 and 3,843.43 is: 5,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.62 : 12,343.91 = 3,843.43 : x
  2. Step 2: Convert to fraction form
    8,225.62/12,343.91 = 3,843.43/x
  3. Step 3: Cross multiply
    8,225.62x = 12,343.91 × 3,843.43
  4. Step 4: Simplify right side
    8,225.62x = 47,442,903.93
  5. Step 5: Solve for x
    x = 47,442,903.93/8,225.62
  6. Step 6: Final answer
    x = 5,767.70

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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.