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Finding the Fourth Proportional to 6,140.20, 9,202.20 and 5,443.60

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Solution

The fourth proportional to 6,140.20, 9,202.20 and 5,443.60 is: 8,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.20 : 9,202.20 = 5,443.60 : x
  2. Step 2: Convert to fraction form
    6,140.20/9,202.20 = 5,443.60/x
  3. Step 3: Cross multiply
    6,140.20x = 9,202.20 × 5,443.60
  4. Step 4: Simplify right side
    6,140.20x = 50,093,095.92
  5. Step 5: Solve for x
    x = 50,093,095.92/6,140.20
  6. Step 6: Final answer
    x = 8,158.22

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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.