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Finding the Fourth Proportional to 6,633.73, 9,952.76 and 3,171.25

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Solution

The fourth proportional to 6,633.73, 9,952.76 and 3,171.25 is: 4,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.73 : 9,952.76 = 3,171.25 : x
  2. Step 2: Convert to fraction form
    6,633.73/9,952.76 = 3,171.25/x
  3. Step 3: Cross multiply
    6,633.73x = 9,952.76 × 3,171.25
  4. Step 4: Simplify right side
    6,633.73x = 31,562,690.15
  5. Step 5: Solve for x
    x = 31,562,690.15/6,633.73
  6. Step 6: Final answer
    x = 4,757.91

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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.