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Finding the Fourth Proportional to 6,392.45, 9,589.98 and 2,694.68

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Solution

The fourth proportional to 6,392.45, 9,589.98 and 2,694.68 is: 4,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.45 : 9,589.98 = 2,694.68 : x
  2. Step 2: Convert to fraction form
    6,392.45/9,589.98 = 2,694.68/x
  3. Step 3: Cross multiply
    6,392.45x = 9,589.98 × 2,694.68
  4. Step 4: Simplify right side
    6,392.45x = 25,841,865.88
  5. Step 5: Solve for x
    x = 25,841,865.88/6,392.45
  6. Step 6: Final answer
    x = 4,042.56

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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.