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Finding the Fourth Proportional to 9,224.35, 13,843.18 and 3,674.49

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Solution

The fourth proportional to 9,224.35, 13,843.18 and 3,674.49 is: 5,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.35 : 13,843.18 = 3,674.49 : x
  2. Step 2: Convert to fraction form
    9,224.35/13,843.18 = 3,674.49/x
  3. Step 3: Cross multiply
    9,224.35x = 13,843.18 × 3,674.49
  4. Step 4: Simplify right side
    9,224.35x = 50,866,538.89
  5. Step 5: Solve for x
    x = 50,866,538.89/9,224.35
  6. Step 6: Final answer
    x = 5,514.38

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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.