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Finding the Fourth Proportional to 6,462.72, 9,695.99 and 2,080.07

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Solution

The fourth proportional to 6,462.72, 9,695.99 and 2,080.07 is: 3,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.72 : 9,695.99 = 2,080.07 : x
  2. Step 2: Convert to fraction form
    6,462.72/9,695.99 = 2,080.07/x
  3. Step 3: Cross multiply
    6,462.72x = 9,695.99 × 2,080.07
  4. Step 4: Simplify right side
    6,462.72x = 20,168,337.92
  5. Step 5: Solve for x
    x = 20,168,337.92/6,462.72
  6. Step 6: Final answer
    x = 3,120.72

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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.