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Finding the Fourth Proportional to 9,906.62, 14,856.38 and 4,640.73

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Solution

The fourth proportional to 9,906.62, 14,856.38 and 4,640.73 is: 6,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.62 : 14,856.38 = 4,640.73 : x
  2. Step 2: Convert to fraction form
    9,906.62/14,856.38 = 4,640.73/x
  3. Step 3: Cross multiply
    9,906.62x = 14,856.38 × 4,640.73
  4. Step 4: Simplify right side
    9,906.62x = 68,944,374.08
  5. Step 5: Solve for x
    x = 68,944,374.08/9,906.62
  6. Step 6: Final answer
    x = 6,959.43

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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.