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Finding the Fourth Proportional to 9,083.82, 13,626.33 and 3,536.80

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Solution

The fourth proportional to 9,083.82, 13,626.33 and 3,536.80 is: 5,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.82 : 13,626.33 = 3,536.80 : x
  2. Step 2: Convert to fraction form
    9,083.82/13,626.33 = 3,536.80/x
  3. Step 3: Cross multiply
    9,083.82x = 13,626.33 × 3,536.80
  4. Step 4: Simplify right side
    9,083.82x = 48,193,603.94
  5. Step 5: Solve for x
    x = 48,193,603.94/9,083.82
  6. Step 6: Final answer
    x = 5,305.43

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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.