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Finding the Fourth Proportional to 6,113.54, 9,163.22 and 2,602.44

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Solution

The fourth proportional to 6,113.54, 9,163.22 and 2,602.44 is: 3,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.54 : 9,163.22 = 2,602.44 : x
  2. Step 2: Convert to fraction form
    6,113.54/9,163.22 = 2,602.44/x
  3. Step 3: Cross multiply
    6,113.54x = 9,163.22 × 2,602.44
  4. Step 4: Simplify right side
    6,113.54x = 23,846,717.24
  5. Step 5: Solve for x
    x = 23,846,717.24/6,113.54
  6. Step 6: Final answer
    x = 3,900.64

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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.