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Finding the Fourth Proportional to 6,196.50, 9,295.97 and 2,733.75

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Solution

The fourth proportional to 6,196.50, 9,295.97 and 2,733.75 is: 4,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.50 : 9,295.97 = 2,733.75 : x
  2. Step 2: Convert to fraction form
    6,196.50/9,295.97 = 2,733.75/x
  3. Step 3: Cross multiply
    6,196.50x = 9,295.97 × 2,733.75
  4. Step 4: Simplify right side
    6,196.50x = 25,412,844.32
  5. Step 5: Solve for x
    x = 25,412,844.32/6,196.50
  6. Step 6: Final answer
    x = 4,101.16

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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.