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Finding the Fourth Proportional to 6,410.27, 9,609.26 and 2,024.73

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Solution

The fourth proportional to 6,410.27, 9,609.26 and 2,024.73 is: 3,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.27 : 9,609.26 = 2,024.73 : x
  2. Step 2: Convert to fraction form
    6,410.27/9,609.26 = 2,024.73/x
  3. Step 3: Cross multiply
    6,410.27x = 9,609.26 × 2,024.73
  4. Step 4: Simplify right side
    6,410.27x = 19,456,146.88
  5. Step 5: Solve for x
    x = 19,456,146.88/6,410.27
  6. Step 6: Final answer
    x = 3,035.15

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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.