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Finding the Fourth Proportional to 6,813.42, 10,218.97 and 2,196.42

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Solution

The fourth proportional to 6,813.42, 10,218.97 and 2,196.42 is: 3,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.42 : 10,218.97 = 2,196.42 : x
  2. Step 2: Convert to fraction form
    6,813.42/10,218.97 = 2,196.42/x
  3. Step 3: Cross multiply
    6,813.42x = 10,218.97 × 2,196.42
  4. Step 4: Simplify right side
    6,813.42x = 22,445,150.09
  5. Step 5: Solve for x
    x = 22,445,150.09/6,813.42
  6. Step 6: Final answer
    x = 3,294.26

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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.