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Finding the Fourth Proportional to 6,665.48, 9,198.41 and 4,014.65

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Solution

The fourth proportional to 6,665.48, 9,198.41 and 4,014.65 is: 5,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.48 : 9,198.41 = 4,014.65 : x
  2. Step 2: Convert to fraction form
    6,665.48/9,198.41 = 4,014.65/x
  3. Step 3: Cross multiply
    6,665.48x = 9,198.41 × 4,014.65
  4. Step 4: Simplify right side
    6,665.48x = 36,928,330.64
  5. Step 5: Solve for x
    x = 36,928,330.64/6,665.48
  6. Step 6: Final answer
    x = 5,540.24

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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.