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Finding the Fourth Proportional to 8,317.96, 12,468.12 and 3,633.82

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Solution

The fourth proportional to 8,317.96, 12,468.12 and 3,633.82 is: 5,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.96 : 12,468.12 = 3,633.82 : x
  2. Step 2: Convert to fraction form
    8,317.96/12,468.12 = 3,633.82/x
  3. Step 3: Cross multiply
    8,317.96x = 12,468.12 × 3,633.82
  4. Step 4: Simplify right side
    8,317.96x = 45,306,903.82
  5. Step 5: Solve for x
    x = 45,306,903.82/8,317.96
  6. Step 6: Final answer
    x = 5,446.88

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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.