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Finding the Fourth Proportional to 9,908.73, 14,863.23 and 2,983.23

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Solution

The fourth proportional to 9,908.73, 14,863.23 and 2,983.23 is: 4,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.73 : 14,863.23 = 2,983.23 : x
  2. Step 2: Convert to fraction form
    9,908.73/14,863.23 = 2,983.23/x
  3. Step 3: Cross multiply
    9,908.73x = 14,863.23 × 2,983.23
  4. Step 4: Simplify right side
    9,908.73x = 44,340,433.63
  5. Step 5: Solve for x
    x = 44,340,433.63/9,908.73
  6. Step 6: Final answer
    x = 4,474.89

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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.