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Finding the Fourth Proportional to 6,638.72, 9,161.52 and 3,843.68

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Solution

The fourth proportional to 6,638.72, 9,161.52 and 3,843.68 is: 5,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.72 : 9,161.52 = 3,843.68 : x
  2. Step 2: Convert to fraction form
    6,638.72/9,161.52 = 3,843.68/x
  3. Step 3: Cross multiply
    6,638.72x = 9,161.52 × 3,843.68
  4. Step 4: Simplify right side
    6,638.72x = 35,213,951.19
  5. Step 5: Solve for x
    x = 35,213,951.19/6,638.72
  6. Step 6: Final answer
    x = 5,304.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.