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Finding the Fourth Proportional to 6,356.41, 9,535.89 and 2,196.57

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Solution

The fourth proportional to 6,356.41, 9,535.89 and 2,196.57 is: 3,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.41 : 9,535.89 = 2,196.57 : x
  2. Step 2: Convert to fraction form
    6,356.41/9,535.89 = 2,196.57/x
  3. Step 3: Cross multiply
    6,356.41x = 9,535.89 × 2,196.57
  4. Step 4: Simplify right side
    6,356.41x = 20,946,249.90
  5. Step 5: Solve for x
    x = 20,946,249.90/6,356.41
  6. Step 6: Final answer
    x = 3,295.30

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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.