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Finding the Fourth Proportional to 6,227.28, 9,295.38 and 5,489.19

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Solution

The fourth proportional to 6,227.28, 9,295.38 and 5,489.19 is: 8,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.28 : 9,295.38 = 5,489.19 : x
  2. Step 2: Convert to fraction form
    6,227.28/9,295.38 = 5,489.19/x
  3. Step 3: Cross multiply
    6,227.28x = 9,295.38 × 5,489.19
  4. Step 4: Simplify right side
    6,227.28x = 51,024,106.94
  5. Step 5: Solve for x
    x = 51,024,106.94/6,227.28
  6. Step 6: Final answer
    x = 8,193.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.