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Finding the Fourth Proportional to 9,344.55, 14,016.83 and 6,413.97

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Solution

The fourth proportional to 9,344.55, 14,016.83 and 6,413.97 is: 9,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.55 : 14,016.83 = 6,413.97 : x
  2. Step 2: Convert to fraction form
    9,344.55/14,016.83 = 6,413.97/x
  3. Step 3: Cross multiply
    9,344.55x = 14,016.83 × 6,413.97
  4. Step 4: Simplify right side
    9,344.55x = 89,903,538.10
  5. Step 5: Solve for x
    x = 89,903,538.10/9,344.55
  6. Step 6: Final answer
    x = 9,620.96

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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.