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Finding the Fourth Proportional to 6,806.97, 9,391.26 and 3,822.39

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Solution

The fourth proportional to 6,806.97, 9,391.26 and 3,822.39 is: 5,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.97 : 9,391.26 = 3,822.39 : x
  2. Step 2: Convert to fraction form
    6,806.97/9,391.26 = 3,822.39/x
  3. Step 3: Cross multiply
    6,806.97x = 9,391.26 × 3,822.39
  4. Step 4: Simplify right side
    6,806.97x = 35,897,058.31
  5. Step 5: Solve for x
    x = 35,897,058.31/6,806.97
  6. Step 6: Final answer
    x = 5,273.57

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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.