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Finding the Fourth Proportional to 6,292.16, 9,432.48 and 3,213.44

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Solution

The fourth proportional to 6,292.16, 9,432.48 and 3,213.44 is: 4,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.16 : 9,432.48 = 3,213.44 : x
  2. Step 2: Convert to fraction form
    6,292.16/9,432.48 = 3,213.44/x
  3. Step 3: Cross multiply
    6,292.16x = 9,432.48 × 3,213.44
  4. Step 4: Simplify right side
    6,292.16x = 30,310,708.53
  5. Step 5: Solve for x
    x = 30,310,708.53/6,292.16
  6. Step 6: Final answer
    x = 4,817.22

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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.