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Finding the Fourth Proportional to 6,408.09, 9,609.26 and 2,511.45

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Solution

The fourth proportional to 6,408.09, 9,609.26 and 2,511.45 is: 3,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.09 : 9,609.26 = 2,511.45 : x
  2. Step 2: Convert to fraction form
    6,408.09/9,609.26 = 2,511.45/x
  3. Step 3: Cross multiply
    6,408.09x = 9,609.26 × 2,511.45
  4. Step 4: Simplify right side
    6,408.09x = 24,133,163.47
  5. Step 5: Solve for x
    x = 24,133,163.47/6,408.09
  6. Step 6: Final answer
    x = 3,766.05

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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.