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Finding the Fourth Proportional to 9,221.49, 13,832.33 and 2,647.66

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Solution

The fourth proportional to 9,221.49, 13,832.33 and 2,647.66 is: 3,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.49 : 13,832.33 = 2,647.66 : x
  2. Step 2: Convert to fraction form
    9,221.49/13,832.33 = 2,647.66/x
  3. Step 3: Cross multiply
    9,221.49x = 13,832.33 × 2,647.66
  4. Step 4: Simplify right side
    9,221.49x = 36,623,306.85
  5. Step 5: Solve for x
    x = 36,623,306.85/9,221.49
  6. Step 6: Final answer
    x = 3,971.52

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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.