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Finding the Fourth Proportional to 8,906.24, 12,291.76 and 5,371.44

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Solution

The fourth proportional to 8,906.24, 12,291.76 and 5,371.44 is: 7,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.24 : 12,291.76 = 5,371.44 : x
  2. Step 2: Convert to fraction form
    8,906.24/12,291.76 = 5,371.44/x
  3. Step 3: Cross multiply
    8,906.24x = 12,291.76 × 5,371.44
  4. Step 4: Simplify right side
    8,906.24x = 66,024,451.33
  5. Step 5: Solve for x
    x = 66,024,451.33/8,906.24
  6. Step 6: Final answer
    x = 7,413.28

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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.