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Finding the Fourth Proportional to 9,249.46, 13,874.90 and 2,675.70

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Solution

The fourth proportional to 9,249.46, 13,874.90 and 2,675.70 is: 4,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.46 : 13,874.90 = 2,675.70 : x
  2. Step 2: Convert to fraction form
    9,249.46/13,874.90 = 2,675.70/x
  3. Step 3: Cross multiply
    9,249.46x = 13,874.90 × 2,675.70
  4. Step 4: Simplify right side
    9,249.46x = 37,125,056.55
  5. Step 5: Solve for x
    x = 37,125,056.55/9,249.46
  6. Step 6: Final answer
    x = 4,013.76

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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.