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Finding the Fourth Proportional to 6,422.97, 9,634.31 and 2,960.22

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Solution

The fourth proportional to 6,422.97, 9,634.31 and 2,960.22 is: 4,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.97 : 9,634.31 = 2,960.22 : x
  2. Step 2: Convert to fraction form
    6,422.97/9,634.31 = 2,960.22/x
  3. Step 3: Cross multiply
    6,422.97x = 9,634.31 × 2,960.22
  4. Step 4: Simplify right side
    6,422.97x = 28,519,662.35
  5. Step 5: Solve for x
    x = 28,519,662.35/6,422.97
  6. Step 6: Final answer
    x = 4,440.26

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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.