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Finding the Fourth Proportional to 9,286.87, 13,935.09 and 6,169.03

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Solution

The fourth proportional to 9,286.87, 13,935.09 and 6,169.03 is: 9,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.87 : 13,935.09 = 6,169.03 : x
  2. Step 2: Convert to fraction form
    9,286.87/13,935.09 = 6,169.03/x
  3. Step 3: Cross multiply
    9,286.87x = 13,935.09 × 6,169.03
  4. Step 4: Simplify right side
    9,286.87x = 85,965,988.26
  5. Step 5: Solve for x
    x = 85,965,988.26/9,286.87
  6. Step 6: Final answer
    x = 9,256.72

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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.