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Finding the Fourth Proportional to 7,137.68, 9,850.02 and 3,993.86

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Solution

The fourth proportional to 7,137.68, 9,850.02 and 3,993.86 is: 5,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.68 : 9,850.02 = 3,993.86 : x
  2. Step 2: Convert to fraction form
    7,137.68/9,850.02 = 3,993.86/x
  3. Step 3: Cross multiply
    7,137.68x = 9,850.02 × 3,993.86
  4. Step 4: Simplify right side
    7,137.68x = 39,339,600.88
  5. Step 5: Solve for x
    x = 39,339,600.88/7,137.68
  6. Step 6: Final answer
    x = 5,511.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.