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Finding the Fourth Proportional to 6,460.20, 9,682.20 and 3,166.20

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Solution

The fourth proportional to 6,460.20, 9,682.20 and 3,166.20 is: 4,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.20 : 9,682.20 = 3,166.20 : x
  2. Step 2: Convert to fraction form
    6,460.20/9,682.20 = 3,166.20/x
  3. Step 3: Cross multiply
    6,460.20x = 9,682.20 × 3,166.20
  4. Step 4: Simplify right side
    6,460.20x = 30,655,781.64
  5. Step 5: Solve for x
    x = 30,655,781.64/6,460.20
  6. Step 6: Final answer
    x = 4,745.33

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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.