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Finding the Fourth Proportional to 6,500.22, 9,742.11 and 3,212.43

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Solution

The fourth proportional to 6,500.22, 9,742.11 and 3,212.43 is: 4,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.22 : 9,742.11 = 3,212.43 : x
  2. Step 2: Convert to fraction form
    6,500.22/9,742.11 = 3,212.43/x
  3. Step 3: Cross multiply
    6,500.22x = 9,742.11 × 3,212.43
  4. Step 4: Simplify right side
    6,500.22x = 31,295,846.43
  5. Step 5: Solve for x
    x = 31,295,846.43/6,500.22
  6. Step 6: Final answer
    x = 4,814.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.