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Finding the Fourth Proportional to 6,511.74, 9,745.39 and 4,138.62

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Solution

The fourth proportional to 6,511.74, 9,745.39 and 4,138.62 is: 6,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.74 : 9,745.39 = 4,138.62 : x
  2. Step 2: Convert to fraction form
    6,511.74/9,745.39 = 4,138.62/x
  3. Step 3: Cross multiply
    6,511.74x = 9,745.39 × 4,138.62
  4. Step 4: Simplify right side
    6,511.74x = 40,332,465.96
  5. Step 5: Solve for x
    x = 40,332,465.96/6,511.74
  6. Step 6: Final answer
    x = 6,193.81

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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.