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Finding the Fourth Proportional to 6,133.20, 9,149.70 and 5,269.20

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Solution

The fourth proportional to 6,133.20, 9,149.70 and 5,269.20 is: 7,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.20 : 9,149.70 = 5,269.20 : x
  2. Step 2: Convert to fraction form
    6,133.20/9,149.70 = 5,269.20/x
  3. Step 3: Cross multiply
    6,133.20x = 9,149.70 × 5,269.20
  4. Step 4: Simplify right side
    6,133.20x = 48,211,599.24
  5. Step 5: Solve for x
    x = 48,211,599.24/6,133.20
  6. Step 6: Final answer
    x = 7,860.76

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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.