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Finding the Fourth Proportional to 9,264.75, 13,892.92 and 3,997.27

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Solution

The fourth proportional to 9,264.75, 13,892.92 and 3,997.27 is: 5,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.75 : 13,892.92 = 3,997.27 : x
  2. Step 2: Convert to fraction form
    9,264.75/13,892.92 = 3,997.27/x
  3. Step 3: Cross multiply
    9,264.75x = 13,892.92 × 3,997.27
  4. Step 4: Simplify right side
    9,264.75x = 55,533,752.33
  5. Step 5: Solve for x
    x = 55,533,752.33/9,264.75
  6. Step 6: Final answer
    x = 5,994.09

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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.