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Finding the Fourth Proportional to 6,092.62, 9,137.04 and 2,196.52

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Solution

The fourth proportional to 6,092.62, 9,137.04 and 2,196.52 is: 3,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.62 : 9,137.04 = 2,196.52 : x
  2. Step 2: Convert to fraction form
    6,092.62/9,137.04 = 2,196.52/x
  3. Step 3: Cross multiply
    6,092.62x = 9,137.04 × 2,196.52
  4. Step 4: Simplify right side
    6,092.62x = 20,069,691.10
  5. Step 5: Solve for x
    x = 20,069,691.10/6,092.62
  6. Step 6: Final answer
    x = 3,294.10

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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.