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Finding the Fourth Proportional to 6,537.76, 9,806.70 and 2,641.26

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Solution

The fourth proportional to 6,537.76, 9,806.70 and 2,641.26 is: 3,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.76 : 9,806.70 = 2,641.26 : x
  2. Step 2: Convert to fraction form
    6,537.76/9,806.70 = 2,641.26/x
  3. Step 3: Cross multiply
    6,537.76x = 9,806.70 × 2,641.26
  4. Step 4: Simplify right side
    6,537.76x = 25,902,044.44
  5. Step 5: Solve for x
    x = 25,902,044.44/6,537.76
  6. Step 6: Final answer
    x = 3,961.91

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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.