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Finding the Fourth Proportional to 6,226.36, 9,346.90 and 6,198.20

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Solution

The fourth proportional to 6,226.36, 9,346.90 and 6,198.20 is: 9,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.36 : 9,346.90 = 6,198.20 : x
  2. Step 2: Convert to fraction form
    6,226.36/9,346.90 = 6,198.20/x
  3. Step 3: Cross multiply
    6,226.36x = 9,346.90 × 6,198.20
  4. Step 4: Simplify right side
    6,226.36x = 57,933,955.58
  5. Step 5: Solve for x
    x = 57,933,955.58/6,226.36
  6. Step 6: Final answer
    x = 9,304.63

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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.