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Finding the Fourth Proportional to 7,145.20, 9,855.64 and 5,650.75

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Solution

The fourth proportional to 7,145.20, 9,855.64 and 5,650.75 is: 7,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.20 : 9,855.64 = 5,650.75 : x
  2. Step 2: Convert to fraction form
    7,145.20/9,855.64 = 5,650.75/x
  3. Step 3: Cross multiply
    7,145.20x = 9,855.64 × 5,650.75
  4. Step 4: Simplify right side
    7,145.20x = 55,691,757.73
  5. Step 5: Solve for x
    x = 55,691,757.73/7,145.20
  6. Step 6: Final answer
    x = 7,794.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.