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Finding the Fourth Proportional to 9,562.43, 13,196.98 and 5,371.49

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Solution

The fourth proportional to 9,562.43, 13,196.98 and 5,371.49 is: 7,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.43 : 13,196.98 = 5,371.49 : x
  2. Step 2: Convert to fraction form
    9,562.43/13,196.98 = 5,371.49/x
  3. Step 3: Cross multiply
    9,562.43x = 13,196.98 × 5,371.49
  4. Step 4: Simplify right side
    9,562.43x = 70,887,418.48
  5. Step 5: Solve for x
    x = 70,887,418.48/9,562.43
  6. Step 6: Final answer
    x = 7,413.12

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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.