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Finding the Fourth Proportional to 6,837.23, 9,435.34 and 3,812.31

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Solution

The fourth proportional to 6,837.23, 9,435.34 and 3,812.31 is: 5,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.23 : 9,435.34 = 3,812.31 : x
  2. Step 2: Convert to fraction form
    6,837.23/9,435.34 = 3,812.31/x
  3. Step 3: Cross multiply
    6,837.23x = 9,435.34 × 3,812.31
  4. Step 4: Simplify right side
    6,837.23x = 35,970,441.04
  5. Step 5: Solve for x
    x = 35,970,441.04/6,837.23
  6. Step 6: Final answer
    x = 5,260.97

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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.