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Finding the Fourth Proportional to 9,976.72, 13,768.49 and 5,500.46

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Solution

The fourth proportional to 9,976.72, 13,768.49 and 5,500.46 is: 7,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.72 : 13,768.49 = 5,500.46 : x
  2. Step 2: Convert to fraction form
    9,976.72/13,768.49 = 5,500.46/x
  3. Step 3: Cross multiply
    9,976.72x = 13,768.49 × 5,500.46
  4. Step 4: Simplify right side
    9,976.72x = 75,733,076.68
  5. Step 5: Solve for x
    x = 75,733,076.68/9,976.72
  6. Step 6: Final answer
    x = 7,590.98

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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.