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Finding the Fourth Proportional to 6,419.70, 9,619.20 and 3,638.10

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Solution

The fourth proportional to 6,419.70, 9,619.20 and 3,638.10 is: 5,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.70 : 9,619.20 = 3,638.10 : x
  2. Step 2: Convert to fraction form
    6,419.70/9,619.20 = 3,638.10/x
  3. Step 3: Cross multiply
    6,419.70x = 9,619.20 × 3,638.10
  4. Step 4: Simplify right side
    6,419.70x = 34,995,611.52
  5. Step 5: Solve for x
    x = 34,995,611.52/6,419.70
  6. Step 6: Final answer
    x = 5,451.28

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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.