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Finding the Fourth Proportional to 6,202.23, 9,293.62 and 5,273.97

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Solution

The fourth proportional to 6,202.23, 9,293.62 and 5,273.97 is: 7,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.23 : 9,293.62 = 5,273.97 : x
  2. Step 2: Convert to fraction form
    6,202.23/9,293.62 = 5,273.97/x
  3. Step 3: Cross multiply
    6,202.23x = 9,293.62 × 5,273.97
  4. Step 4: Simplify right side
    6,202.23x = 49,014,273.07
  5. Step 5: Solve for x
    x = 49,014,273.07/6,202.23
  6. Step 6: Final answer
    x = 7,902.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.