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Finding the Fourth Proportional to 9,563.88, 13,198.16 and 5,372.16

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Solution

The fourth proportional to 9,563.88, 13,198.16 and 5,372.16 is: 7,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.88 : 13,198.16 = 5,372.16 : x
  2. Step 2: Convert to fraction form
    9,563.88/13,198.16 = 5,372.16/x
  3. Step 3: Cross multiply
    9,563.88x = 13,198.16 × 5,372.16
  4. Step 4: Simplify right side
    9,563.88x = 70,902,627.23
  5. Step 5: Solve for x
    x = 70,902,627.23/9,563.88
  6. Step 6: Final answer
    x = 7,413.58

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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.