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Finding the Fourth Proportional to 7,129.33, 9,841.22 and 6,381.97

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Solution

The fourth proportional to 7,129.33, 9,841.22 and 6,381.97 is: 8,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.33 : 9,841.22 = 6,381.97 : x
  2. Step 2: Convert to fraction form
    7,129.33/9,841.22 = 6,381.97/x
  3. Step 3: Cross multiply
    7,129.33x = 9,841.22 × 6,381.97
  4. Step 4: Simplify right side
    7,129.33x = 62,806,370.80
  5. Step 5: Solve for x
    x = 62,806,370.80/7,129.33
  6. Step 6: Final answer
    x = 8,809.58

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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.