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Finding the Fourth Proportional to 6,462.74, 9,695.64 and 2,080.19

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Solution

The fourth proportional to 6,462.74, 9,695.64 and 2,080.19 is: 3,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.74 : 9,695.64 = 2,080.19 : x
  2. Step 2: Convert to fraction form
    6,462.74/9,695.64 = 2,080.19/x
  3. Step 3: Cross multiply
    6,462.74x = 9,695.64 × 2,080.19
  4. Step 4: Simplify right side
    6,462.74x = 20,168,773.37
  5. Step 5: Solve for x
    x = 20,168,773.37/6,462.74
  6. Step 6: Final answer
    x = 3,120.78

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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.