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Finding the Fourth Proportional to 6,198.16, 9,295.38 and 3,274.88

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Solution

The fourth proportional to 6,198.16, 9,295.38 and 3,274.88 is: 4,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.16 : 9,295.38 = 3,274.88 : x
  2. Step 2: Convert to fraction form
    6,198.16/9,295.38 = 3,274.88/x
  3. Step 3: Cross multiply
    6,198.16x = 9,295.38 × 3,274.88
  4. Step 4: Simplify right side
    6,198.16x = 30,441,254.05
  5. Step 5: Solve for x
    x = 30,441,254.05/6,198.16
  6. Step 6: Final answer
    x = 4,911.34

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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.