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Finding the Fourth Proportional to 8,449.42, 12,674.13 and 3,768.22

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Solution

The fourth proportional to 8,449.42, 12,674.13 and 3,768.22 is: 5,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.42 : 12,674.13 = 3,768.22 : x
  2. Step 2: Convert to fraction form
    8,449.42/12,674.13 = 3,768.22/x
  3. Step 3: Cross multiply
    8,449.42x = 12,674.13 × 3,768.22
  4. Step 4: Simplify right side
    8,449.42x = 47,758,910.15
  5. Step 5: Solve for x
    x = 47,758,910.15/8,449.42
  6. Step 6: Final answer
    x = 5,652.33

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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.