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Finding the Fourth Proportional to 9,327.40, 12,872.42 and 5,349.80

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Solution

The fourth proportional to 9,327.40, 12,872.42 and 5,349.80 is: 7,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.40 : 12,872.42 = 5,349.80 : x
  2. Step 2: Convert to fraction form
    9,327.40/12,872.42 = 5,349.80/x
  3. Step 3: Cross multiply
    9,327.40x = 12,872.42 × 5,349.80
  4. Step 4: Simplify right side
    9,327.40x = 68,864,872.52
  5. Step 5: Solve for x
    x = 68,864,872.52/9,327.40
  6. Step 6: Final answer
    x = 7,383.07

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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.