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Finding the Fourth Proportional to 9,976.23, 14,901.18 and 7,761.90

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Solution

The fourth proportional to 9,976.23, 14,901.18 and 7,761.90 is: 11,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.23 : 14,901.18 = 7,761.90 : x
  2. Step 2: Convert to fraction form
    9,976.23/14,901.18 = 7,761.90/x
  3. Step 3: Cross multiply
    9,976.23x = 14,901.18 × 7,761.90
  4. Step 4: Simplify right side
    9,976.23x = 115,661,469.04
  5. Step 5: Solve for x
    x = 115,661,469.04/9,976.23
  6. Step 6: Final answer
    x = 11,593.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.