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Finding the Fourth Proportional to 9,221.34, 13,832.08 and 3,676.09

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Solution

The fourth proportional to 9,221.34, 13,832.08 and 3,676.09 is: 5,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.34 : 13,832.08 = 3,676.09 : x
  2. Step 2: Convert to fraction form
    9,221.34/13,832.08 = 3,676.09/x
  3. Step 3: Cross multiply
    9,221.34x = 13,832.08 × 3,676.09
  4. Step 4: Simplify right side
    9,221.34x = 50,847,970.97
  5. Step 5: Solve for x
    x = 50,847,970.97/9,221.34
  6. Step 6: Final answer
    x = 5,514.16

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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.