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Finding the Fourth Proportional to 6,422.53, 9,635.86 and 2,727.87

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Solution

The fourth proportional to 6,422.53, 9,635.86 and 2,727.87 is: 4,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.53 : 9,635.86 = 2,727.87 : x
  2. Step 2: Convert to fraction form
    6,422.53/9,635.86 = 2,727.87/x
  3. Step 3: Cross multiply
    6,422.53x = 9,635.86 × 2,727.87
  4. Step 4: Simplify right side
    6,422.53x = 26,285,373.42
  5. Step 5: Solve for x
    x = 26,285,373.42/6,422.53
  6. Step 6: Final answer
    x = 4,092.68

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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.