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Finding the Fourth Proportional to 6,545.26, 9,817.90 and 3,947.60

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Solution

The fourth proportional to 6,545.26, 9,817.90 and 3,947.60 is: 5,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.26 : 9,817.90 = 3,947.60 : x
  2. Step 2: Convert to fraction form
    6,545.26/9,817.90 = 3,947.60/x
  3. Step 3: Cross multiply
    6,545.26x = 9,817.90 × 3,947.60
  4. Step 4: Simplify right side
    6,545.26x = 38,757,142.04
  5. Step 5: Solve for x
    x = 38,757,142.04/6,545.26
  6. Step 6: Final answer
    x = 5,921.41

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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.