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Finding the Fourth Proportional to 9,119.67, 13,680.17 and 3,276.33

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Solution

The fourth proportional to 9,119.67, 13,680.17 and 3,276.33 is: 4,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.67 : 13,680.17 = 3,276.33 : x
  2. Step 2: Convert to fraction form
    9,119.67/13,680.17 = 3,276.33/x
  3. Step 3: Cross multiply
    9,119.67x = 13,680.17 × 3,276.33
  4. Step 4: Simplify right side
    9,119.67x = 44,820,751.38
  5. Step 5: Solve for x
    x = 44,820,751.38/9,119.67
  6. Step 6: Final answer
    x = 4,914.73

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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.