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Finding the Fourth Proportional to 6,198.75, 9,298.13 and 1,816.09

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Solution

The fourth proportional to 6,198.75, 9,298.13 and 1,816.09 is: 2,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.75 : 9,298.13 = 1,816.09 : x
  2. Step 2: Convert to fraction form
    6,198.75/9,298.13 = 1,816.09/x
  3. Step 3: Cross multiply
    6,198.75x = 9,298.13 × 1,816.09
  4. Step 4: Simplify right side
    6,198.75x = 16,886,208.59
  5. Step 5: Solve for x
    x = 16,886,208.59/6,198.75
  6. Step 6: Final answer
    x = 2,724.13

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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.