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Finding the Fourth Proportional to 9,976.74, 13,767.28 and 5,500.54

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Solution

The fourth proportional to 9,976.74, 13,767.28 and 5,500.54 is: 7,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.74 : 13,767.28 = 5,500.54 : x
  2. Step 2: Convert to fraction form
    9,976.74/13,767.28 = 5,500.54/x
  3. Step 3: Cross multiply
    9,976.74x = 13,767.28 × 5,500.54
  4. Step 4: Simplify right side
    9,976.74x = 75,727,474.33
  5. Step 5: Solve for x
    x = 75,727,474.33/9,976.74
  6. Step 6: Final answer
    x = 7,590.40

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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.