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Finding the Fourth Proportional to 6,806.28, 9,393.68 and 4,155.23

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Solution

The fourth proportional to 6,806.28, 9,393.68 and 4,155.23 is: 5,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.28 : 9,393.68 = 4,155.23 : x
  2. Step 2: Convert to fraction form
    6,806.28/9,393.68 = 4,155.23/x
  3. Step 3: Cross multiply
    6,806.28x = 9,393.68 × 4,155.23
  4. Step 4: Simplify right side
    6,806.28x = 39,032,833.20
  5. Step 5: Solve for x
    x = 39,032,833.20/6,806.28
  6. Step 6: Final answer
    x = 5,734.83

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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.