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Finding the Fourth Proportional to 9,224.33, 13,835.12 and 2,560.13

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Solution

The fourth proportional to 9,224.33, 13,835.12 and 2,560.13 is: 3,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.33 : 13,835.12 = 2,560.13 : x
  2. Step 2: Convert to fraction form
    9,224.33/13,835.12 = 2,560.13/x
  3. Step 3: Cross multiply
    9,224.33x = 13,835.12 × 2,560.13
  4. Step 4: Simplify right side
    9,224.33x = 35,419,647.48
  5. Step 5: Solve for x
    x = 35,419,647.48/9,224.33
  6. Step 6: Final answer
    x = 3,839.81

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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.