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Finding the Fourth Proportional to 6,244.27, 9,361.78 and 3,778.49

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Solution

The fourth proportional to 6,244.27, 9,361.78 and 3,778.49 is: 5,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.27 : 9,361.78 = 3,778.49 : x
  2. Step 2: Convert to fraction form
    6,244.27/9,361.78 = 3,778.49/x
  3. Step 3: Cross multiply
    6,244.27x = 9,361.78 × 3,778.49
  4. Step 4: Simplify right side
    6,244.27x = 35,373,392.11
  5. Step 5: Solve for x
    x = 35,373,392.11/6,244.27
  6. Step 6: Final answer
    x = 5,664.94

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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.