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Finding the Fourth Proportional to 6,198.36, 9,298.50 and 2,037.42

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Solution

The fourth proportional to 6,198.36, 9,298.50 and 2,037.42 is: 3,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.36 : 9,298.50 = 2,037.42 : x
  2. Step 2: Convert to fraction form
    6,198.36/9,298.50 = 2,037.42/x
  3. Step 3: Cross multiply
    6,198.36x = 9,298.50 × 2,037.42
  4. Step 4: Simplify right side
    6,198.36x = 18,944,942.23
  5. Step 5: Solve for x
    x = 18,944,942.23/6,198.36
  6. Step 6: Final answer
    x = 3,056.45

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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.