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Finding the Fourth Proportional to 9,418.75, 12,997.88 and 5,227.09

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Solution

The fourth proportional to 9,418.75, 12,997.88 and 5,227.09 is: 7,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.75 : 12,997.88 = 5,227.09 : x
  2. Step 2: Convert to fraction form
    9,418.75/12,997.88 = 5,227.09/x
  3. Step 3: Cross multiply
    9,418.75x = 12,997.88 × 5,227.09
  4. Step 4: Simplify right side
    9,418.75x = 67,941,088.57
  5. Step 5: Solve for x
    x = 67,941,088.57/9,418.75
  6. Step 6: Final answer
    x = 7,213.39

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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.