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Finding the Fourth Proportional to 6,221.80, 9,338.46 and 2,760.04

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Solution

The fourth proportional to 6,221.80, 9,338.46 and 2,760.04 is: 4,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.80 : 9,338.46 = 2,760.04 : x
  2. Step 2: Convert to fraction form
    6,221.80/9,338.46 = 2,760.04/x
  3. Step 3: Cross multiply
    6,221.80x = 9,338.46 × 2,760.04
  4. Step 4: Simplify right side
    6,221.80x = 25,774,523.14
  5. Step 5: Solve for x
    x = 25,774,523.14/6,221.80
  6. Step 6: Final answer
    x = 4,142.62

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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.