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Finding the Fourth Proportional to 8,225.96, 12,331.64 and 6,286.82

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Solution

The fourth proportional to 8,225.96, 12,331.64 and 6,286.82 is: 9,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.96 : 12,331.64 = 6,286.82 : x
  2. Step 2: Convert to fraction form
    8,225.96/12,331.64 = 6,286.82/x
  3. Step 3: Cross multiply
    8,225.96x = 12,331.64 × 6,286.82
  4. Step 4: Simplify right side
    8,225.96x = 77,526,755.04
  5. Step 5: Solve for x
    x = 77,526,755.04/8,225.96
  6. Step 6: Final answer
    x = 9,424.65

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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.