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Finding the Fourth Proportional to 9,224.85, 13,843.92 and 3,674.98

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Solution

The fourth proportional to 9,224.85, 13,843.92 and 3,674.98 is: 5,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.85 : 13,843.92 = 3,674.98 : x
  2. Step 2: Convert to fraction form
    9,224.85/13,843.92 = 3,674.98/x
  3. Step 3: Cross multiply
    9,224.85x = 13,843.92 × 3,674.98
  4. Step 4: Simplify right side
    9,224.85x = 50,876,129.12
  5. Step 5: Solve for x
    x = 50,876,129.12/9,224.85
  6. Step 6: Final answer
    x = 5,515.12

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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.