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Finding the Fourth Proportional to 6,137.37, 9,199.71 and 2,847.78

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Solution

The fourth proportional to 6,137.37, 9,199.71 and 2,847.78 is: 4,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.37 : 9,199.71 = 2,847.78 : x
  2. Step 2: Convert to fraction form
    6,137.37/9,199.71 = 2,847.78/x
  3. Step 3: Cross multiply
    6,137.37x = 9,199.71 × 2,847.78
  4. Step 4: Simplify right side
    6,137.37x = 26,198,750.14
  5. Step 5: Solve for x
    x = 26,198,750.14/6,137.37
  6. Step 6: Final answer
    x = 4,268.73

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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.