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Finding the Fourth Proportional to 9,976.78, 13,767.40 and 5,500.52

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Solution

The fourth proportional to 9,976.78, 13,767.40 and 5,500.52 is: 7,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.78 : 13,767.40 = 5,500.52 : x
  2. Step 2: Convert to fraction form
    9,976.78/13,767.40 = 5,500.52/x
  3. Step 3: Cross multiply
    9,976.78x = 13,767.40 × 5,500.52
  4. Step 4: Simplify right side
    9,976.78x = 75,727,859.05
  5. Step 5: Solve for x
    x = 75,727,859.05/9,976.78
  6. Step 6: Final answer
    x = 7,590.41

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