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Finding the Fourth Proportional to 6,976.72, 9,627.32 and 3,991.87

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Solution

The fourth proportional to 6,976.72, 9,627.32 and 3,991.87 is: 5,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.72 : 9,627.32 = 3,991.87 : x
  2. Step 2: Convert to fraction form
    6,976.72/9,627.32 = 3,991.87/x
  3. Step 3: Cross multiply
    6,976.72x = 9,627.32 × 3,991.87
  4. Step 4: Simplify right side
    6,976.72x = 38,431,009.89
  5. Step 5: Solve for x
    x = 38,431,009.89/6,976.72
  6. Step 6: Final answer
    x = 5,508.46

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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.