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Finding the Fourth Proportional to 6,133.37, 9,202.78 and 2,236.86

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Solution

The fourth proportional to 6,133.37, 9,202.78 and 2,236.86 is: 3,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.37 : 9,202.78 = 2,236.86 : x
  2. Step 2: Convert to fraction form
    6,133.37/9,202.78 = 2,236.86/x
  3. Step 3: Cross multiply
    6,133.37x = 9,202.78 × 2,236.86
  4. Step 4: Simplify right side
    6,133.37x = 20,585,330.47
  5. Step 5: Solve for x
    x = 20,585,330.47/6,133.37
  6. Step 6: Final answer
    x = 3,356.29

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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.