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Finding the Fourth Proportional to 6,343.07, 9,517.34 and 3,420.70

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Solution

The fourth proportional to 6,343.07, 9,517.34 and 3,420.70 is: 5,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.07 : 9,517.34 = 3,420.70 : x
  2. Step 2: Convert to fraction form
    6,343.07/9,517.34 = 3,420.70/x
  3. Step 3: Cross multiply
    6,343.07x = 9,517.34 × 3,420.70
  4. Step 4: Simplify right side
    6,343.07x = 32,555,964.94
  5. Step 5: Solve for x
    x = 32,555,964.94/6,343.07
  6. Step 6: Final answer
    x = 5,132.52

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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.