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Finding the Fourth Proportional to 9,976.86, 13,768.01 and 5,500.59

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Solution

The fourth proportional to 9,976.86, 13,768.01 and 5,500.59 is: 7,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.86 : 13,768.01 = 5,500.59 : x
  2. Step 2: Convert to fraction form
    9,976.86/13,768.01 = 5,500.59/x
  3. Step 3: Cross multiply
    9,976.86x = 13,768.01 × 5,500.59
  4. Step 4: Simplify right side
    9,976.86x = 75,732,150.62
  5. Step 5: Solve for x
    x = 75,732,150.62/9,976.86
  6. Step 6: Final answer
    x = 7,590.78

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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.