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Finding the Fourth Proportional to 6,163.90, 9,247.20 and 2,465.20

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Solution

The fourth proportional to 6,163.90, 9,247.20 and 2,465.20 is: 3,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.90 : 9,247.20 = 2,465.20 : x
  2. Step 2: Convert to fraction form
    6,163.90/9,247.20 = 2,465.20/x
  3. Step 3: Cross multiply
    6,163.90x = 9,247.20 × 2,465.20
  4. Step 4: Simplify right side
    6,163.90x = 22,796,197.44
  5. Step 5: Solve for x
    x = 22,796,197.44/6,163.90
  6. Step 6: Final answer
    x = 3,698.34

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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.