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Finding the Fourth Proportional to 6,346.42, 9,519.46 and 2,648.57

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Solution

The fourth proportional to 6,346.42, 9,519.46 and 2,648.57 is: 3,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.42 : 9,519.46 = 2,648.57 : x
  2. Step 2: Convert to fraction form
    6,346.42/9,519.46 = 2,648.57/x
  3. Step 3: Cross multiply
    6,346.42x = 9,519.46 × 2,648.57
  4. Step 4: Simplify right side
    6,346.42x = 25,212,901.95
  5. Step 5: Solve for x
    x = 25,212,901.95/6,346.42
  6. Step 6: Final answer
    x = 3,972.78

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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.