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Finding the Fourth Proportional to 9,480.67, 13,083.37 and 5,231.78

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Solution

The fourth proportional to 9,480.67, 13,083.37 and 5,231.78 is: 7,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.67 : 13,083.37 = 5,231.78 : x
  2. Step 2: Convert to fraction form
    9,480.67/13,083.37 = 5,231.78/x
  3. Step 3: Cross multiply
    9,480.67x = 13,083.37 × 5,231.78
  4. Step 4: Simplify right side
    9,480.67x = 68,449,313.50
  5. Step 5: Solve for x
    x = 68,449,313.50/9,480.67
  6. Step 6: Final answer
    x = 7,219.88

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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.