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Finding the Fourth Proportional to 9,229, 13,849.26 and 3,757

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Solution

The fourth proportional to 9,229, 13,849.26 and 3,757 is: 5,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 13,849.26 = 3,757 : x
  2. Step 2: Convert to fraction form
    9,229/13,849.26 = 3,757/x
  3. Step 3: Cross multiply
    9,229x = 13,849.26 × 3,757
  4. Step 4: Simplify right side
    9,229x = 52,031,669.82
  5. Step 5: Solve for x
    x = 52,031,669.82/9,229
  6. Step 6: Final answer
    x = 5,637.84

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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.