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Finding the Fourth Proportional to 9,352.50, 12,906.73 and 5,161.02

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Solution

The fourth proportional to 9,352.50, 12,906.73 and 5,161.02 is: 7,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.50 : 12,906.73 = 5,161.02 : x
  2. Step 2: Convert to fraction form
    9,352.50/12,906.73 = 5,161.02/x
  3. Step 3: Cross multiply
    9,352.50x = 12,906.73 × 5,161.02
  4. Step 4: Simplify right side
    9,352.50x = 66,611,891.66
  5. Step 5: Solve for x
    x = 66,611,891.66/9,352.50
  6. Step 6: Final answer
    x = 7,122.36

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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.