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Finding the Fourth Proportional to 9,419.22, 12,998.97 and 5,227.50

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Solution

The fourth proportional to 9,419.22, 12,998.97 and 5,227.50 is: 7,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.22 : 12,998.97 = 5,227.50 : x
  2. Step 2: Convert to fraction form
    9,419.22/12,998.97 = 5,227.50/x
  3. Step 3: Cross multiply
    9,419.22x = 12,998.97 × 5,227.50
  4. Step 4: Simplify right side
    9,419.22x = 67,952,115.68
  5. Step 5: Solve for x
    x = 67,952,115.68/9,419.22
  6. Step 6: Final answer
    x = 7,214.20

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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.