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Finding the Fourth Proportional to 9,137, 13,707.42 and 3,665

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Solution

The fourth proportional to 9,137, 13,707.42 and 3,665 is: 5,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 13,707.42 = 3,665 : x
  2. Step 2: Convert to fraction form
    9,137/13,707.42 = 3,665/x
  3. Step 3: Cross multiply
    9,137x = 13,707.42 × 3,665
  4. Step 4: Simplify right side
    9,137x = 50,237,694.30
  5. Step 5: Solve for x
    x = 50,237,694.30/9,137
  6. Step 6: Final answer
    x = 5,498.27

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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.