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Finding the Fourth Proportional to 6,161.75, 9,236.24 and 2,872.14

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Solution

The fourth proportional to 6,161.75, 9,236.24 and 2,872.14 is: 4,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.75 : 9,236.24 = 2,872.14 : x
  2. Step 2: Convert to fraction form
    6,161.75/9,236.24 = 2,872.14/x
  3. Step 3: Cross multiply
    6,161.75x = 9,236.24 × 2,872.14
  4. Step 4: Simplify right side
    6,161.75x = 26,527,774.35
  5. Step 5: Solve for x
    x = 26,527,774.35/6,161.75
  6. Step 6: Final answer
    x = 4,305.23

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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.