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Finding the Fourth Proportional to 9,720.28, 13,413.78 and 5,943.49

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Solution

The fourth proportional to 9,720.28, 13,413.78 and 5,943.49 is: 8,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.28 : 13,413.78 = 5,943.49 : x
  2. Step 2: Convert to fraction form
    9,720.28/13,413.78 = 5,943.49/x
  3. Step 3: Cross multiply
    9,720.28x = 13,413.78 × 5,943.49
  4. Step 4: Simplify right side
    9,720.28x = 79,724,667.29
  5. Step 5: Solve for x
    x = 79,724,667.29/9,720.28
  6. Step 6: Final answer
    x = 8,201.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.