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Finding the Fourth Proportional to 6,391.77, 9,589.62 and 3,273.96

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Solution

The fourth proportional to 6,391.77, 9,589.62 and 3,273.96 is: 4,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.77 : 9,589.62 = 3,273.96 : x
  2. Step 2: Convert to fraction form
    6,391.77/9,589.62 = 3,273.96/x
  3. Step 3: Cross multiply
    6,391.77x = 9,589.62 × 3,273.96
  4. Step 4: Simplify right side
    6,391.77x = 31,396,032.30
  5. Step 5: Solve for x
    x = 31,396,032.30/6,391.77
  6. Step 6: Final answer
    x = 4,911.95

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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.