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Finding the Fourth Proportional to 6,328.34, 9,493.61 and 2,168.76

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Solution

The fourth proportional to 6,328.34, 9,493.61 and 2,168.76 is: 3,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.34 : 9,493.61 = 2,168.76 : x
  2. Step 2: Convert to fraction form
    6,328.34/9,493.61 = 2,168.76/x
  3. Step 3: Cross multiply
    6,328.34x = 9,493.61 × 2,168.76
  4. Step 4: Simplify right side
    6,328.34x = 20,589,350.78
  5. Step 5: Solve for x
    x = 20,589,350.78/6,328.34
  6. Step 6: Final answer
    x = 3,253.52

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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.