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Finding the Fourth Proportional to 6,454.78, 9,682.17 and 2,072.59

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Solution

The fourth proportional to 6,454.78, 9,682.17 and 2,072.59 is: 3,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.78 : 9,682.17 = 2,072.59 : x
  2. Step 2: Convert to fraction form
    6,454.78/9,682.17 = 2,072.59/x
  3. Step 3: Cross multiply
    6,454.78x = 9,682.17 × 2,072.59
  4. Step 4: Simplify right side
    6,454.78x = 20,067,168.72
  5. Step 5: Solve for x
    x = 20,067,168.72/6,454.78
  6. Step 6: Final answer
    x = 3,108.89

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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.