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Finding the Fourth Proportional to 6,426.88, 9,640.22 and 3,466.70

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Solution

The fourth proportional to 6,426.88, 9,640.22 and 3,466.70 is: 5,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.88 : 9,640.22 = 3,466.70 : x
  2. Step 2: Convert to fraction form
    6,426.88/9,640.22 = 3,466.70/x
  3. Step 3: Cross multiply
    6,426.88x = 9,640.22 × 3,466.70
  4. Step 4: Simplify right side
    6,426.88x = 33,419,721.29
  5. Step 5: Solve for x
    x = 33,419,721.29/6,426.88
  6. Step 6: Final answer
    x = 5,199.99

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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.