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Finding the Fourth Proportional to 8,229.06, 12,343.82 and 3,231.22

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Solution

The fourth proportional to 8,229.06, 12,343.82 and 3,231.22 is: 4,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.06 : 12,343.82 = 3,231.22 : x
  2. Step 2: Convert to fraction form
    8,229.06/12,343.82 = 3,231.22/x
  3. Step 3: Cross multiply
    8,229.06x = 12,343.82 × 3,231.22
  4. Step 4: Simplify right side
    8,229.06x = 39,885,598.06
  5. Step 5: Solve for x
    x = 39,885,598.06/8,229.06
  6. Step 6: Final answer
    x = 4,846.92

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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.