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Finding the Fourth Proportional to 6,701.62, 9,251.41 and 4,467.22

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Solution

The fourth proportional to 6,701.62, 9,251.41 and 4,467.22 is: 6,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.62 : 9,251.41 = 4,467.22 : x
  2. Step 2: Convert to fraction form
    6,701.62/9,251.41 = 4,467.22/x
  3. Step 3: Cross multiply
    6,701.62x = 9,251.41 × 4,467.22
  4. Step 4: Simplify right side
    6,701.62x = 41,328,083.78
  5. Step 5: Solve for x
    x = 41,328,083.78/6,701.62
  6. Step 6: Final answer
    x = 6,166.88

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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.