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Finding the Fourth Proportional to 6,222.99, 9,334.26 and 2,277.30

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Solution

The fourth proportional to 6,222.99, 9,334.26 and 2,277.30 is: 3,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.99 : 9,334.26 = 2,277.30 : x
  2. Step 2: Convert to fraction form
    6,222.99/9,334.26 = 2,277.30/x
  3. Step 3: Cross multiply
    6,222.99x = 9,334.26 × 2,277.30
  4. Step 4: Simplify right side
    6,222.99x = 21,256,910.30
  5. Step 5: Solve for x
    x = 21,256,910.30/6,222.99
  6. Step 6: Final answer
    x = 3,415.87

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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.