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Finding the Fourth Proportional to 9,872.22, 13,627.44 and 6,096

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Solution

The fourth proportional to 9,872.22, 13,627.44 and 6,096 is: 8,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.22 : 13,627.44 = 6,096 : x
  2. Step 2: Convert to fraction form
    9,872.22/13,627.44 = 6,096/x
  3. Step 3: Cross multiply
    9,872.22x = 13,627.44 × 6,096
  4. Step 4: Simplify right side
    9,872.22x = 83,072,874.24
  5. Step 5: Solve for x
    x = 83,072,874.24/9,872.22
  6. Step 6: Final answer
    x = 8,414.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.