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Finding the Fourth Proportional to 7,198.46, 9,932.99 and 4,213.61

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Solution

The fourth proportional to 7,198.46, 9,932.99 and 4,213.61 is: 5,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.46 : 9,932.99 = 4,213.61 : x
  2. Step 2: Convert to fraction form
    7,198.46/9,932.99 = 4,213.61/x
  3. Step 3: Cross multiply
    7,198.46x = 9,932.99 × 4,213.61
  4. Step 4: Simplify right side
    7,198.46x = 41,853,675.26
  5. Step 5: Solve for x
    x = 41,853,675.26/7,198.46
  6. Step 6: Final answer
    x = 5,814.26

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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.