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Finding the Fourth Proportional to 6,296.49, 9,445.17 and 2,136.93

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Solution

The fourth proportional to 6,296.49, 9,445.17 and 2,136.93 is: 3,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.49 : 9,445.17 = 2,136.93 : x
  2. Step 2: Convert to fraction form
    6,296.49/9,445.17 = 2,136.93/x
  3. Step 3: Cross multiply
    6,296.49x = 9,445.17 × 2,136.93
  4. Step 4: Simplify right side
    6,296.49x = 20,183,667.13
  5. Step 5: Solve for x
    x = 20,183,667.13/6,296.49
  6. Step 6: Final answer
    x = 3,205.54

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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.