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Finding the Fourth Proportional to 9,167, 13,744.33 and 4,233.92

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Solution

The fourth proportional to 9,167, 13,744.33 and 4,233.92 is: 6,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167 : 13,744.33 = 4,233.92 : x
  2. Step 2: Convert to fraction form
    9,167/13,744.33 = 4,233.92/x
  3. Step 3: Cross multiply
    9,167x = 13,744.33 × 4,233.92
  4. Step 4: Simplify right side
    9,167x = 58,192,393.67
  5. Step 5: Solve for x
    x = 58,192,393.67/9,167
  6. Step 6: Final answer
    x = 6,348.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.