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Finding the Fourth Proportional to 9,321.70, 13,974.26 and 3,397.48

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Solution

The fourth proportional to 9,321.70, 13,974.26 and 3,397.48 is: 5,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.70 : 13,974.26 = 3,397.48 : x
  2. Step 2: Convert to fraction form
    9,321.70/13,974.26 = 3,397.48/x
  3. Step 3: Cross multiply
    9,321.70x = 13,974.26 × 3,397.48
  4. Step 4: Simplify right side
    9,321.70x = 47,477,201.80
  5. Step 5: Solve for x
    x = 47,477,201.80/9,321.70
  6. Step 6: Final answer
    x = 5,093.19

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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.