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Finding the Fourth Proportional to 9,274.96, 13,912.43 and 6,161.04

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Solution

The fourth proportional to 9,274.96, 13,912.43 and 6,161.04 is: 9,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.96 : 13,912.43 = 6,161.04 : x
  2. Step 2: Convert to fraction form
    9,274.96/13,912.43 = 6,161.04/x
  3. Step 3: Cross multiply
    9,274.96x = 13,912.43 × 6,161.04
  4. Step 4: Simplify right side
    9,274.96x = 85,715,019.78
  5. Step 5: Solve for x
    x = 85,715,019.78/9,274.96
  6. Step 6: Final answer
    x = 9,241.56

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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.