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Finding the Fourth Proportional to 9,196.89, 13,797.41 and 3,353.52

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Solution

The fourth proportional to 9,196.89, 13,797.41 and 3,353.52 is: 5,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.89 : 13,797.41 = 3,353.52 : x
  2. Step 2: Convert to fraction form
    9,196.89/13,797.41 = 3,353.52/x
  3. Step 3: Cross multiply
    9,196.89x = 13,797.41 × 3,353.52
  4. Step 4: Simplify right side
    9,196.89x = 46,269,873.62
  5. Step 5: Solve for x
    x = 46,269,873.62/9,196.89
  6. Step 6: Final answer
    x = 5,031.03

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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.