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Finding the Fourth Proportional to 6,212.46, 9,319.41 and 3,093.42

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Solution

The fourth proportional to 6,212.46, 9,319.41 and 3,093.42 is: 4,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.46 : 9,319.41 = 3,093.42 : x
  2. Step 2: Convert to fraction form
    6,212.46/9,319.41 = 3,093.42/x
  3. Step 3: Cross multiply
    6,212.46x = 9,319.41 × 3,093.42
  4. Step 4: Simplify right side
    6,212.46x = 28,828,849.28
  5. Step 5: Solve for x
    x = 28,828,849.28/6,212.46
  6. Step 6: Final answer
    x = 4,640.49

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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.