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Finding the Fourth Proportional to 6,140.37, 9,204.21 and 2,850.78

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Solution

The fourth proportional to 6,140.37, 9,204.21 and 2,850.78 is: 4,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.37 : 9,204.21 = 2,850.78 : x
  2. Step 2: Convert to fraction form
    6,140.37/9,204.21 = 2,850.78/x
  3. Step 3: Cross multiply
    6,140.37x = 9,204.21 × 2,850.78
  4. Step 4: Simplify right side
    6,140.37x = 26,239,177.78
  5. Step 5: Solve for x
    x = 26,239,177.78/6,140.37
  6. Step 6: Final answer
    x = 4,273.22

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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.