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Finding the Fourth Proportional to 6,092.12, 9,138.18 and 3,489.50

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Solution

The fourth proportional to 6,092.12, 9,138.18 and 3,489.50 is: 5,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.12 : 9,138.18 = 3,489.50 : x
  2. Step 2: Convert to fraction form
    6,092.12/9,138.18 = 3,489.50/x
  3. Step 3: Cross multiply
    6,092.12x = 9,138.18 × 3,489.50
  4. Step 4: Simplify right side
    6,092.12x = 31,887,679.11
  5. Step 5: Solve for x
    x = 31,887,679.11/6,092.12
  6. Step 6: Final answer
    x = 5,234.25

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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.