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Finding the Fourth Proportional to 9,481.05, 13,083.80 and 5,174.15

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Solution

The fourth proportional to 9,481.05, 13,083.80 and 5,174.15 is: 7,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.05 : 13,083.80 = 5,174.15 : x
  2. Step 2: Convert to fraction form
    9,481.05/13,083.80 = 5,174.15/x
  3. Step 3: Cross multiply
    9,481.05x = 13,083.80 × 5,174.15
  4. Step 4: Simplify right side
    9,481.05x = 67,697,452.48
  5. Step 5: Solve for x
    x = 67,697,452.48/9,481.05
  6. Step 6: Final answer
    x = 7,140.29

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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.