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Finding the Fourth Proportional to 7,183.14, 9,914.40 and 4,200.36

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Solution

The fourth proportional to 7,183.14, 9,914.40 and 4,200.36 is: 5,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.14 : 9,914.40 = 4,200.36 : x
  2. Step 2: Convert to fraction form
    7,183.14/9,914.40 = 4,200.36/x
  3. Step 3: Cross multiply
    7,183.14x = 9,914.40 × 4,200.36
  4. Step 4: Simplify right side
    7,183.14x = 41,644,049.18
  5. Step 5: Solve for x
    x = 41,644,049.18/7,183.14
  6. Step 6: Final answer
    x = 5,797.47

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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.