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Finding the Fourth Proportional to 6,092.51, 9,142.34 and 3,871.24

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Solution

The fourth proportional to 6,092.51, 9,142.34 and 3,871.24 is: 5,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.51 : 9,142.34 = 3,871.24 : x
  2. Step 2: Convert to fraction form
    6,092.51/9,142.34 = 3,871.24/x
  3. Step 3: Cross multiply
    6,092.51x = 9,142.34 × 3,871.24
  4. Step 4: Simplify right side
    6,092.51x = 35,392,150.09
  5. Step 5: Solve for x
    x = 35,392,150.09/6,092.51
  6. Step 6: Final answer
    x = 5,809.13

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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.