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Finding the Fourth Proportional to 8,942.91, 13,414.44 and 2,702.97

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Solution

The fourth proportional to 8,942.91, 13,414.44 and 2,702.97 is: 4,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.91 : 13,414.44 = 2,702.97 : x
  2. Step 2: Convert to fraction form
    8,942.91/13,414.44 = 2,702.97/x
  3. Step 3: Cross multiply
    8,942.91x = 13,414.44 × 2,702.97
  4. Step 4: Simplify right side
    8,942.91x = 36,258,839.02
  5. Step 5: Solve for x
    x = 36,258,839.02/8,942.91
  6. Step 6: Final answer
    x = 4,054.48

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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.