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Finding the Fourth Proportional to 6,338.52, 9,505.35 and 2,177.75

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Solution

The fourth proportional to 6,338.52, 9,505.35 and 2,177.75 is: 3,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.52 : 9,505.35 = 2,177.75 : x
  2. Step 2: Convert to fraction form
    6,338.52/9,505.35 = 2,177.75/x
  3. Step 3: Cross multiply
    6,338.52x = 9,505.35 × 2,177.75
  4. Step 4: Simplify right side
    6,338.52x = 20,700,299.73
  5. Step 5: Solve for x
    x = 20,700,299.73/6,338.52
  6. Step 6: Final answer
    x = 3,265.79

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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.