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Finding the Fourth Proportional to 6,454.31, 8,909.67 and 4,361.27

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Solution

The fourth proportional to 6,454.31, 8,909.67 and 4,361.27 is: 6,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.31 : 8,909.67 = 4,361.27 : x
  2. Step 2: Convert to fraction form
    6,454.31/8,909.67 = 4,361.27/x
  3. Step 3: Cross multiply
    6,454.31x = 8,909.67 × 4,361.27
  4. Step 4: Simplify right side
    6,454.31x = 38,857,431.93
  5. Step 5: Solve for x
    x = 38,857,431.93/6,454.31
  6. Step 6: Final answer
    x = 6,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.