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Finding the Fourth Proportional to 6,196.53, 9,294.93 and 2,448.21

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Solution

The fourth proportional to 6,196.53, 9,294.93 and 2,448.21 is: 3,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.53 : 9,294.93 = 2,448.21 : x
  2. Step 2: Convert to fraction form
    6,196.53/9,294.93 = 2,448.21/x
  3. Step 3: Cross multiply
    6,196.53x = 9,294.93 × 2,448.21
  4. Step 4: Simplify right side
    6,196.53x = 22,755,940.58
  5. Step 5: Solve for x
    x = 22,755,940.58/6,196.53
  6. Step 6: Final answer
    x = 3,672.37

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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.