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Finding the Fourth Proportional to 9,352.69, 12,906.98 and 5,161.21

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Solution

The fourth proportional to 9,352.69, 12,906.98 and 5,161.21 is: 7,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.69 : 12,906.98 = 5,161.21 : x
  2. Step 2: Convert to fraction form
    9,352.69/12,906.98 = 5,161.21/x
  3. Step 3: Cross multiply
    9,352.69x = 12,906.98 × 5,161.21
  4. Step 4: Simplify right side
    9,352.69x = 66,615,634.25
  5. Step 5: Solve for x
    x = 66,615,634.25/9,352.69
  6. Step 6: Final answer
    x = 7,122.62

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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.