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Finding the Fourth Proportional to 6,806.78, 9,394.37 and 4,155.73

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Solution

The fourth proportional to 6,806.78, 9,394.37 and 4,155.73 is: 5,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.78 : 9,394.37 = 4,155.73 : x
  2. Step 2: Convert to fraction form
    6,806.78/9,394.37 = 4,155.73/x
  3. Step 3: Cross multiply
    6,806.78x = 9,394.37 × 4,155.73
  4. Step 4: Simplify right side
    6,806.78x = 39,040,397.49
  5. Step 5: Solve for x
    x = 39,040,397.49/6,806.78
  6. Step 6: Final answer
    x = 5,735.52

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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.