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Finding the Fourth Proportional to 6,232.56, 9,346.10 and 2,334.24

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Solution

The fourth proportional to 6,232.56, 9,346.10 and 2,334.24 is: 3,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.56 : 9,346.10 = 2,334.24 : x
  2. Step 2: Convert to fraction form
    6,232.56/9,346.10 = 2,334.24/x
  3. Step 3: Cross multiply
    6,232.56x = 9,346.10 × 2,334.24
  4. Step 4: Simplify right side
    6,232.56x = 21,815,993.73
  5. Step 5: Solve for x
    x = 21,815,993.73/6,232.56
  6. Step 6: Final answer
    x = 3,500.33

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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.