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Finding the Fourth Proportional to 6,140.40, 9,199.80 and 5,449.20

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Solution

The fourth proportional to 6,140.40, 9,199.80 and 5,449.20 is: 8,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.40 : 9,199.80 = 5,449.20 : x
  2. Step 2: Convert to fraction form
    6,140.40/9,199.80 = 5,449.20/x
  3. Step 3: Cross multiply
    6,140.40x = 9,199.80 × 5,449.20
  4. Step 4: Simplify right side
    6,140.40x = 50,131,550.16
  5. Step 5: Solve for x
    x = 50,131,550.16/6,140.40
  6. Step 6: Final answer
    x = 8,164.22

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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.