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Finding the Fourth Proportional to 9,605.82, 14,408.73 and 2,680.14

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Solution

The fourth proportional to 9,605.82, 14,408.73 and 2,680.14 is: 4,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.82 : 14,408.73 = 2,680.14 : x
  2. Step 2: Convert to fraction form
    9,605.82/14,408.73 = 2,680.14/x
  3. Step 3: Cross multiply
    9,605.82x = 14,408.73 × 2,680.14
  4. Step 4: Simplify right side
    9,605.82x = 38,617,413.62
  5. Step 5: Solve for x
    x = 38,617,413.62/9,605.82
  6. Step 6: Final answer
    x = 4,020.21

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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.