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Finding the Fourth Proportional to 6,150.21, 9,212.22 and 3,219.63

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Solution

The fourth proportional to 6,150.21, 9,212.22 and 3,219.63 is: 4,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.21 : 9,212.22 = 3,219.63 : x
  2. Step 2: Convert to fraction form
    6,150.21/9,212.22 = 3,219.63/x
  3. Step 3: Cross multiply
    6,150.21x = 9,212.22 × 3,219.63
  4. Step 4: Simplify right side
    6,150.21x = 29,659,939.88
  5. Step 5: Solve for x
    x = 29,659,939.88/6,150.21
  6. Step 6: Final answer
    x = 4,822.59

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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.