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Finding the Fourth Proportional to 9,976.29, 13,767.74 and 5,500.09

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Solution

The fourth proportional to 9,976.29, 13,767.74 and 5,500.09 is: 7,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.29 : 13,767.74 = 5,500.09 : x
  2. Step 2: Convert to fraction form
    9,976.29/13,767.74 = 5,500.09/x
  3. Step 3: Cross multiply
    9,976.29x = 13,767.74 × 5,500.09
  4. Step 4: Simplify right side
    9,976.29x = 75,723,809.10
  5. Step 5: Solve for x
    x = 75,723,809.10/9,976.29
  6. Step 6: Final answer
    x = 7,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.