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Finding the Fourth Proportional to 9,247.25, 13,857.89 and 6,129.41

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Solution

The fourth proportional to 9,247.25, 13,857.89 and 6,129.41 is: 9,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.25 : 13,857.89 = 6,129.41 : x
  2. Step 2: Convert to fraction form
    9,247.25/13,857.89 = 6,129.41/x
  3. Step 3: Cross multiply
    9,247.25x = 13,857.89 × 6,129.41
  4. Step 4: Simplify right side
    9,247.25x = 84,940,589.61
  5. Step 5: Solve for x
    x = 84,940,589.61/9,247.25
  6. Step 6: Final answer
    x = 9,185.50

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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.