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Finding the Fourth Proportional to 9,265.25, 13,893.67 and 3,997.78

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Solution

The fourth proportional to 9,265.25, 13,893.67 and 3,997.78 is: 5,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.25 : 13,893.67 = 3,997.78 : x
  2. Step 2: Convert to fraction form
    9,265.25/13,893.67 = 3,997.78/x
  3. Step 3: Cross multiply
    9,265.25x = 13,893.67 × 3,997.78
  4. Step 4: Simplify right side
    9,265.25x = 55,543,836.05
  5. Step 5: Solve for x
    x = 55,543,836.05/9,265.25
  6. Step 6: Final answer
    x = 5,994.86

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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.