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Finding the Fourth Proportional to 6,254.74, 9,382.92 and 2,092.96

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Solution

The fourth proportional to 6,254.74, 9,382.92 and 2,092.96 is: 3,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.74 : 9,382.92 = 2,092.96 : x
  2. Step 2: Convert to fraction form
    6,254.74/9,382.92 = 2,092.96/x
  3. Step 3: Cross multiply
    6,254.74x = 9,382.92 × 2,092.96
  4. Step 4: Simplify right side
    6,254.74x = 19,638,076.24
  5. Step 5: Solve for x
    x = 19,638,076.24/6,254.74
  6. Step 6: Final answer
    x = 3,139.71

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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.