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Finding the Fourth Proportional to 6,275.30, 9,394.46 and 5,496.83

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Solution

The fourth proportional to 6,275.30, 9,394.46 and 5,496.83 is: 8,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.30 : 9,394.46 = 5,496.83 : x
  2. Step 2: Convert to fraction form
    6,275.30/9,394.46 = 5,496.83/x
  3. Step 3: Cross multiply
    6,275.30x = 9,394.46 × 5,496.83
  4. Step 4: Simplify right side
    6,275.30x = 51,639,716.33
  5. Step 5: Solve for x
    x = 51,639,716.33/6,275.30
  6. Step 6: Final answer
    x = 8,229.04

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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.