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Finding the Fourth Proportional to 9,391.56, 12,960.87 and 5,413.26

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Solution

The fourth proportional to 9,391.56, 12,960.87 and 5,413.26 is: 7,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.56 : 12,960.87 = 5,413.26 : x
  2. Step 2: Convert to fraction form
    9,391.56/12,960.87 = 5,413.26/x
  3. Step 3: Cross multiply
    9,391.56x = 12,960.87 × 5,413.26
  4. Step 4: Simplify right side
    9,391.56x = 70,160,559.14
  5. Step 5: Solve for x
    x = 70,160,559.14/9,391.56
  6. Step 6: Final answer
    x = 7,470.60

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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.