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Finding the Fourth Proportional to 9,976.66, 13,767.56 and 5,500.31

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Solution

The fourth proportional to 9,976.66, 13,767.56 and 5,500.31 is: 7,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.66 : 13,767.56 = 5,500.31 : x
  2. Step 2: Convert to fraction form
    9,976.66/13,767.56 = 5,500.31/x
  3. Step 3: Cross multiply
    9,976.66x = 13,767.56 × 5,500.31
  4. Step 4: Simplify right side
    9,976.66x = 75,725,847.94
  5. Step 5: Solve for x
    x = 75,725,847.94/9,976.66
  6. Step 6: Final answer
    x = 7,590.30

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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.