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Finding the Fourth Proportional to 6,380.17, 9,573.98 and 2,682.12

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Solution

The fourth proportional to 6,380.17, 9,573.98 and 2,682.12 is: 4,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.17 : 9,573.98 = 2,682.12 : x
  2. Step 2: Convert to fraction form
    6,380.17/9,573.98 = 2,682.12/x
  3. Step 3: Cross multiply
    6,380.17x = 9,573.98 × 2,682.12
  4. Step 4: Simplify right side
    6,380.17x = 25,678,563.24
  5. Step 5: Solve for x
    x = 25,678,563.24/6,380.17
  6. Step 6: Final answer
    x = 4,024.75

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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.