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Finding the Fourth Proportional to 6,092.23, 9,142.10 and 2,393.81

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Solution

The fourth proportional to 6,092.23, 9,142.10 and 2,393.81 is: 3,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.23 : 9,142.10 = 2,393.81 : x
  2. Step 2: Convert to fraction form
    6,092.23/9,142.10 = 2,393.81/x
  3. Step 3: Cross multiply
    6,092.23x = 9,142.10 × 2,393.81
  4. Step 4: Simplify right side
    6,092.23x = 21,884,410.68
  5. Step 5: Solve for x
    x = 21,884,410.68/6,092.23
  6. Step 6: Final answer
    x = 3,592.19

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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.