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Finding the Fourth Proportional to 6,422.70, 9,634.05 and 6,167.55

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Solution

The fourth proportional to 6,422.70, 9,634.05 and 6,167.55 is: 9,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.70 : 9,634.05 = 6,167.55 : x
  2. Step 2: Convert to fraction form
    6,422.70/9,634.05 = 6,167.55/x
  3. Step 3: Cross multiply
    6,422.70x = 9,634.05 × 6,167.55
  4. Step 4: Simplify right side
    6,422.70x = 59,418,485.08
  5. Step 5: Solve for x
    x = 59,418,485.08/6,422.70
  6. Step 6: Final answer
    x = 9,251.33

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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.