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Finding the Fourth Proportional to 7,229.44, 10,825.66 and 6,405.22

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Solution

The fourth proportional to 7,229.44, 10,825.66 and 6,405.22 is: 9,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.44 : 10,825.66 = 6,405.22 : x
  2. Step 2: Convert to fraction form
    7,229.44/10,825.66 = 6,405.22/x
  3. Step 3: Cross multiply
    7,229.44x = 10,825.66 × 6,405.22
  4. Step 4: Simplify right side
    7,229.44x = 69,340,733.95
  5. Step 5: Solve for x
    x = 69,340,733.95/7,229.44
  6. Step 6: Final answer
    x = 9,591.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.