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Finding the Fourth Proportional to 9,287.75, 13,936.41 and 6,169.91

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Solution

The fourth proportional to 9,287.75, 13,936.41 and 6,169.91 is: 9,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.75 : 13,936.41 = 6,169.91 : x
  2. Step 2: Convert to fraction form
    9,287.75/13,936.41 = 6,169.91/x
  3. Step 3: Cross multiply
    9,287.75x = 13,936.41 × 6,169.91
  4. Step 4: Simplify right side
    9,287.75x = 85,986,325.74
  5. Step 5: Solve for x
    x = 85,986,325.74/9,287.75
  6. Step 6: Final answer
    x = 9,258.03

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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.