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Finding the Fourth Proportional to 8,222.97, 12,334.47 and 3,777.69

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Solution

The fourth proportional to 8,222.97, 12,334.47 and 3,777.69 is: 5,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.97 : 12,334.47 = 3,777.69 : x
  2. Step 2: Convert to fraction form
    8,222.97/12,334.47 = 3,777.69/x
  3. Step 3: Cross multiply
    8,222.97x = 12,334.47 × 3,777.69
  4. Step 4: Simplify right side
    8,222.97x = 46,595,785.09
  5. Step 5: Solve for x
    x = 46,595,785.09/8,222.97
  6. Step 6: Final answer
    x = 5,666.54

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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.