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Finding the Fourth Proportional to 6,381.73, 9,573.27 and 2,684.33

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Solution

The fourth proportional to 6,381.73, 9,573.27 and 2,684.33 is: 4,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.73 : 9,573.27 = 2,684.33 : x
  2. Step 2: Convert to fraction form
    6,381.73/9,573.27 = 2,684.33/x
  3. Step 3: Cross multiply
    6,381.73x = 9,573.27 × 2,684.33
  4. Step 4: Simplify right side
    6,381.73x = 25,697,815.86
  5. Step 5: Solve for x
    x = 25,697,815.86/6,381.73
  6. Step 6: Final answer
    x = 4,026.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.