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Finding the Fourth Proportional to 6,249.75, 9,375.89 and 2,787

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Solution

The fourth proportional to 6,249.75, 9,375.89 and 2,787 is: 4,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.75 : 9,375.89 = 2,787 : x
  2. Step 2: Convert to fraction form
    6,249.75/9,375.89 = 2,787/x
  3. Step 3: Cross multiply
    6,249.75x = 9,375.89 × 2,787
  4. Step 4: Simplify right side
    6,249.75x = 26,130,591.50
  5. Step 5: Solve for x
    x = 26,130,591.50/6,249.75
  6. Step 6: Final answer
    x = 4,181.06

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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.