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Finding the Fourth Proportional to 6,806.81, 9,394.41 and 4,155.75

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Solution

The fourth proportional to 6,806.81, 9,394.41 and 4,155.75 is: 5,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.81 : 9,394.41 = 4,155.75 : x
  2. Step 2: Convert to fraction form
    6,806.81/9,394.41 = 4,155.75/x
  3. Step 3: Cross multiply
    6,806.81x = 9,394.41 × 4,155.75
  4. Step 4: Simplify right side
    6,806.81x = 39,040,819.36
  5. Step 5: Solve for x
    x = 39,040,819.36/6,806.81
  6. Step 6: Final answer
    x = 5,735.56

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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.