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Finding the Fourth Proportional to 6,324.46, 9,488.10 and 1,942.36

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Solution

The fourth proportional to 6,324.46, 9,488.10 and 1,942.36 is: 2,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.46 : 9,488.10 = 1,942.36 : x
  2. Step 2: Convert to fraction form
    6,324.46/9,488.10 = 1,942.36/x
  3. Step 3: Cross multiply
    6,324.46x = 9,488.10 × 1,942.36
  4. Step 4: Simplify right side
    6,324.46x = 18,429,305.92
  5. Step 5: Solve for x
    x = 18,429,305.92/6,324.46
  6. Step 6: Final answer
    x = 2,913.97

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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.