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Finding the Fourth Proportional to 6,578.35, 9,868.16 and 2,196.12

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Solution

The fourth proportional to 6,578.35, 9,868.16 and 2,196.12 is: 3,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.35 : 9,868.16 = 2,196.12 : x
  2. Step 2: Convert to fraction form
    6,578.35/9,868.16 = 2,196.12/x
  3. Step 3: Cross multiply
    6,578.35x = 9,868.16 × 2,196.12
  4. Step 4: Simplify right side
    6,578.35x = 21,671,663.54
  5. Step 5: Solve for x
    x = 21,671,663.54/6,578.35
  6. Step 6: Final answer
    x = 3,294.39

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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.