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Finding the Fourth Proportional to 6,198.32, 9,289.28 and 2,906.89

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Solution

The fourth proportional to 6,198.32, 9,289.28 and 2,906.89 is: 4,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.32 : 9,289.28 = 2,906.89 : x
  2. Step 2: Convert to fraction form
    6,198.32/9,289.28 = 2,906.89/x
  3. Step 3: Cross multiply
    6,198.32x = 9,289.28 × 2,906.89
  4. Step 4: Simplify right side
    6,198.32x = 27,002,899.18
  5. Step 5: Solve for x
    x = 27,002,899.18/6,198.32
  6. Step 6: Final answer
    x = 4,356.49

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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.