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Finding the Fourth Proportional to 6,381.27, 9,573.12 and 1,997.82

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Solution

The fourth proportional to 6,381.27, 9,573.12 and 1,997.82 is: 2,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.27 : 9,573.12 = 1,997.82 : x
  2. Step 2: Convert to fraction form
    6,381.27/9,573.12 = 1,997.82/x
  3. Step 3: Cross multiply
    6,381.27x = 9,573.12 × 1,997.82
  4. Step 4: Simplify right side
    6,381.27x = 19,125,370.60
  5. Step 5: Solve for x
    x = 19,125,370.60/6,381.27
  6. Step 6: Final answer
    x = 2,997.11

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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.