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Finding the Fourth Proportional to 9,324.54, 13,978.49 and 3,481.42

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Solution

The fourth proportional to 9,324.54, 13,978.49 and 3,481.42 is: 5,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.54 : 13,978.49 = 3,481.42 : x
  2. Step 2: Convert to fraction form
    9,324.54/13,978.49 = 3,481.42/x
  3. Step 3: Cross multiply
    9,324.54x = 13,978.49 × 3,481.42
  4. Step 4: Simplify right side
    9,324.54x = 48,664,994.66
  5. Step 5: Solve for x
    x = 48,664,994.66/9,324.54
  6. Step 6: Final answer
    x = 5,219.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.