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Finding the Fourth Proportional to 8,144.88, 11,219.83 and 6,945.96

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Solution

The fourth proportional to 8,144.88, 11,219.83 and 6,945.96 is: 9,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.88 : 11,219.83 = 6,945.96 : x
  2. Step 2: Convert to fraction form
    8,144.88/11,219.83 = 6,945.96/x
  3. Step 3: Cross multiply
    8,144.88x = 11,219.83 × 6,945.96
  4. Step 4: Simplify right side
    8,144.88x = 77,932,490.39
  5. Step 5: Solve for x
    x = 77,932,490.39/8,144.88
  6. Step 6: Final answer
    x = 9,568.28

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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.