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Finding the Fourth Proportional to 7,198.06, 9,933.18 and 4,214.02

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Solution

The fourth proportional to 7,198.06, 9,933.18 and 4,214.02 is: 5,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.06 : 9,933.18 = 4,214.02 : x
  2. Step 2: Convert to fraction form
    7,198.06/9,933.18 = 4,214.02/x
  3. Step 3: Cross multiply
    7,198.06x = 9,933.18 × 4,214.02
  4. Step 4: Simplify right side
    7,198.06x = 41,858,619.18
  5. Step 5: Solve for x
    x = 41,858,619.18/7,198.06
  6. Step 6: Final answer
    x = 5,815.26

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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.