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Finding the Fourth Proportional to 9,609.87, 14,413.01 and 4,414.47

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Solution

The fourth proportional to 9,609.87, 14,413.01 and 4,414.47 is: 6,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.87 : 14,413.01 = 4,414.47 : x
  2. Step 2: Convert to fraction form
    9,609.87/14,413.01 = 4,414.47/x
  3. Step 3: Cross multiply
    9,609.87x = 14,413.01 × 4,414.47
  4. Step 4: Simplify right side
    9,609.87x = 63,625,778.18
  5. Step 5: Solve for x
    x = 63,625,778.18/9,609.87
  6. Step 6: Final answer
    x = 6,620.88

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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.