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Finding the Fourth Proportional to 6,514.56, 8,991.41 and 3,863.43

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Solution

The fourth proportional to 6,514.56, 8,991.41 and 3,863.43 is: 5,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.56 : 8,991.41 = 3,863.43 : x
  2. Step 2: Convert to fraction form
    6,514.56/8,991.41 = 3,863.43/x
  3. Step 3: Cross multiply
    6,514.56x = 8,991.41 × 3,863.43
  4. Step 4: Simplify right side
    6,514.56x = 34,737,663.82
  5. Step 5: Solve for x
    x = 34,737,663.82/6,514.56
  6. Step 6: Final answer
    x = 5,332.31

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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.