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Finding the Fourth Proportional to 6,163.02, 9,245.34 and 2,465.64

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Solution

The fourth proportional to 6,163.02, 9,245.34 and 2,465.64 is: 3,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.02 : 9,245.34 = 2,465.64 : x
  2. Step 2: Convert to fraction form
    6,163.02/9,245.34 = 2,465.64/x
  3. Step 3: Cross multiply
    6,163.02x = 9,245.34 × 2,465.64
  4. Step 4: Simplify right side
    6,163.02x = 22,795,680.12
  5. Step 5: Solve for x
    x = 22,795,680.12/6,163.02
  6. Step 6: Final answer
    x = 3,698.78

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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.