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Finding the Fourth Proportional to 6,286.06, 9,431.14 and 2,998.73

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Solution

The fourth proportional to 6,286.06, 9,431.14 and 2,998.73 is: 4,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.06 : 9,431.14 = 2,998.73 : x
  2. Step 2: Convert to fraction form
    6,286.06/9,431.14 = 2,998.73/x
  3. Step 3: Cross multiply
    6,286.06x = 9,431.14 × 2,998.73
  4. Step 4: Simplify right side
    6,286.06x = 28,281,380.30
  5. Step 5: Solve for x
    x = 28,281,380.30/6,286.06
  6. Step 6: Final answer
    x = 4,499.06

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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.