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Finding the Fourth Proportional to 6,092.20, 9,142.26 and 2,397.34

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Solution

The fourth proportional to 6,092.20, 9,142.26 and 2,397.34 is: 3,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.20 : 9,142.26 = 2,397.34 : x
  2. Step 2: Convert to fraction form
    6,092.20/9,142.26 = 2,397.34/x
  3. Step 3: Cross multiply
    6,092.20x = 9,142.26 × 2,397.34
  4. Step 4: Simplify right side
    6,092.20x = 21,917,105.59
  5. Step 5: Solve for x
    x = 21,917,105.59/6,092.20
  6. Step 6: Final answer
    x = 3,597.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.