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Finding the Fourth Proportional to 6,578.88, 9,868.50 and 2,196.18

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Solution

The fourth proportional to 6,578.88, 9,868.50 and 2,196.18 is: 3,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.88 : 9,868.50 = 2,196.18 : x
  2. Step 2: Convert to fraction form
    6,578.88/9,868.50 = 2,196.18/x
  3. Step 3: Cross multiply
    6,578.88x = 9,868.50 × 2,196.18
  4. Step 4: Simplify right side
    6,578.88x = 21,673,002.33
  5. Step 5: Solve for x
    x = 21,673,002.33/6,578.88
  6. Step 6: Final answer
    x = 3,294.33

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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.