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Finding the Fourth Proportional to 6,198, 9,289.56 and 3,426.12

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Solution

The fourth proportional to 6,198, 9,289.56 and 3,426.12 is: 5,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 9,289.56 = 3,426.12 : x
  2. Step 2: Convert to fraction form
    6,198/9,289.56 = 3,426.12/x
  3. Step 3: Cross multiply
    6,198x = 9,289.56 × 3,426.12
  4. Step 4: Simplify right side
    6,198x = 31,827,147.31
  5. Step 5: Solve for x
    x = 31,827,147.31/6,198
  6. Step 6: Final answer
    x = 5,135.07

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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.