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Finding the Fourth Proportional to 9,564.14, 13,198.41 and 5,372.39

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Solution

The fourth proportional to 9,564.14, 13,198.41 and 5,372.39 is: 7,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.14 : 13,198.41 = 5,372.39 : x
  2. Step 2: Convert to fraction form
    9,564.14/13,198.41 = 5,372.39/x
  3. Step 3: Cross multiply
    9,564.14x = 13,198.41 × 5,372.39
  4. Step 4: Simplify right side
    9,564.14x = 70,907,038.90
  5. Step 5: Solve for x
    x = 70,907,038.90/9,564.14
  6. Step 6: Final answer
    x = 7,413.84

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Why These Related Problems?

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