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Finding the Fourth Proportional to 9,092.98, 13,639.77 and 2,519.23

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Solution

The fourth proportional to 9,092.98, 13,639.77 and 2,519.23 is: 3,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.98 : 13,639.77 = 2,519.23 : x
  2. Step 2: Convert to fraction form
    9,092.98/13,639.77 = 2,519.23/x
  3. Step 3: Cross multiply
    9,092.98x = 13,639.77 × 2,519.23
  4. Step 4: Simplify right side
    9,092.98x = 34,361,717.78
  5. Step 5: Solve for x
    x = 34,361,717.78/9,092.98
  6. Step 6: Final answer
    x = 3,778.93

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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.