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Finding the Fourth Proportional to 6,196.81, 9,293.05 and 2,733.25

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Solution

The fourth proportional to 6,196.81, 9,293.05 and 2,733.25 is: 4,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.81 : 9,293.05 = 2,733.25 : x
  2. Step 2: Convert to fraction form
    6,196.81/9,293.05 = 2,733.25/x
  3. Step 3: Cross multiply
    6,196.81x = 9,293.05 × 2,733.25
  4. Step 4: Simplify right side
    6,196.81x = 25,400,228.91
  5. Step 5: Solve for x
    x = 25,400,228.91/6,196.81
  6. Step 6: Final answer
    x = 4,098.92

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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.