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Finding the Fourth Proportional to 9,236.31, 12,744.92 and 5,203.23

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Solution

The fourth proportional to 9,236.31, 12,744.92 and 5,203.23 is: 7,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.31 : 12,744.92 = 5,203.23 : x
  2. Step 2: Convert to fraction form
    9,236.31/12,744.92 = 5,203.23/x
  3. Step 3: Cross multiply
    9,236.31x = 12,744.92 × 5,203.23
  4. Step 4: Simplify right side
    9,236.31x = 66,314,715.31
  5. Step 5: Solve for x
    x = 66,314,715.31/9,236.31
  6. Step 6: Final answer
    x = 7,179.79

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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.