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Finding the Fourth Proportional to 9,564.12, 13,198.14 and 5,372.28

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Solution

The fourth proportional to 9,564.12, 13,198.14 and 5,372.28 is: 7,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.12 : 13,198.14 = 5,372.28 : x
  2. Step 2: Convert to fraction form
    9,564.12/13,198.14 = 5,372.28/x
  3. Step 3: Cross multiply
    9,564.12x = 13,198.14 × 5,372.28
  4. Step 4: Simplify right side
    9,564.12x = 70,904,103.56
  5. Step 5: Solve for x
    x = 70,904,103.56/9,564.12
  6. Step 6: Final answer
    x = 7,413.55

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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.