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Finding the Fourth Proportional to 6,173.92, 9,262.83 and 2,222.47

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Solution

The fourth proportional to 6,173.92, 9,262.83 and 2,222.47 is: 3,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.92 : 9,262.83 = 2,222.47 : x
  2. Step 2: Convert to fraction form
    6,173.92/9,262.83 = 2,222.47/x
  3. Step 3: Cross multiply
    6,173.92x = 9,262.83 × 2,222.47
  4. Step 4: Simplify right side
    6,173.92x = 20,586,361.79
  5. Step 5: Solve for x
    x = 20,586,361.79/6,173.92
  6. Step 6: Final answer
    x = 3,334.41

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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.