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Finding the Fourth Proportional to 9,286.86, 13,935.08 and 6,169.02

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Solution

The fourth proportional to 9,286.86, 13,935.08 and 6,169.02 is: 9,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.86 : 13,935.08 = 6,169.02 : x
  2. Step 2: Convert to fraction form
    9,286.86/13,935.08 = 6,169.02/x
  3. Step 3: Cross multiply
    9,286.86x = 13,935.08 × 6,169.02
  4. Step 4: Simplify right side
    9,286.86x = 85,965,787.22
  5. Step 5: Solve for x
    x = 85,965,787.22/9,286.86
  6. Step 6: Final answer
    x = 9,256.71

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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.