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Finding the Fourth Proportional to 9,391.86, 12,960.34 and 5,413.56

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Solution

The fourth proportional to 9,391.86, 12,960.34 and 5,413.56 is: 7,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.86 : 12,960.34 = 5,413.56 : x
  2. Step 2: Convert to fraction form
    9,391.86/12,960.34 = 5,413.56/x
  3. Step 3: Cross multiply
    9,391.86x = 12,960.34 × 5,413.56
  4. Step 4: Simplify right side
    9,391.86x = 70,161,578.21
  5. Step 5: Solve for x
    x = 70,161,578.21/9,391.86
  6. Step 6: Final answer
    x = 7,470.47

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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.