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Finding the Fourth Proportional to 6,454.30, 9,682.17 and 2,070.22

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Solution

The fourth proportional to 6,454.30, 9,682.17 and 2,070.22 is: 3,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.30 : 9,682.17 = 2,070.22 : x
  2. Step 2: Convert to fraction form
    6,454.30/9,682.17 = 2,070.22/x
  3. Step 3: Cross multiply
    6,454.30x = 9,682.17 × 2,070.22
  4. Step 4: Simplify right side
    6,454.30x = 20,044,221.98
  5. Step 5: Solve for x
    x = 20,044,221.98/6,454.30
  6. Step 6: Final answer
    x = 3,105.56

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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.