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Finding the Fourth Proportional to 9,480.43, 13,083.14 and 5,231.43

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Solution

The fourth proportional to 9,480.43, 13,083.14 and 5,231.43 is: 7,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.43 : 13,083.14 = 5,231.43 : x
  2. Step 2: Convert to fraction form
    9,480.43/13,083.14 = 5,231.43/x
  3. Step 3: Cross multiply
    9,480.43x = 13,083.14 × 5,231.43
  4. Step 4: Simplify right side
    9,480.43x = 68,443,439.52
  5. Step 5: Solve for x
    x = 68,443,439.52/9,480.43
  6. Step 6: Final answer
    x = 7,219.44

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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.