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Finding the Fourth Proportional to 6,665.24, 9,198.41 and 4,013.50

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Solution

The fourth proportional to 6,665.24, 9,198.41 and 4,013.50 is: 5,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.24 : 9,198.41 = 4,013.50 : x
  2. Step 2: Convert to fraction form
    6,665.24/9,198.41 = 4,013.50/x
  3. Step 3: Cross multiply
    6,665.24x = 9,198.41 × 4,013.50
  4. Step 4: Simplify right side
    6,665.24x = 36,917,818.54
  5. Step 5: Solve for x
    x = 36,917,818.54/6,665.24
  6. Step 6: Final answer
    x = 5,538.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.