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Finding the Fourth Proportional to 6,419.56, 9,634.20 and 4,227.52

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Solution

The fourth proportional to 6,419.56, 9,634.20 and 4,227.52 is: 6,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.56 : 9,634.20 = 4,227.52 : x
  2. Step 2: Convert to fraction form
    6,419.56/9,634.20 = 4,227.52/x
  3. Step 3: Cross multiply
    6,419.56x = 9,634.20 × 4,227.52
  4. Step 4: Simplify right side
    6,419.56x = 40,728,773.18
  5. Step 5: Solve for x
    x = 40,728,773.18/6,419.56
  6. Step 6: Final answer
    x = 6,344.48

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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.