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Finding the Fourth Proportional to 6,195.75, 9,294.84 and 2,733

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Solution

The fourth proportional to 6,195.75, 9,294.84 and 2,733 is: 4,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.75 : 9,294.84 = 2,733 : x
  2. Step 2: Convert to fraction form
    6,195.75/9,294.84 = 2,733/x
  3. Step 3: Cross multiply
    6,195.75x = 9,294.84 × 2,733
  4. Step 4: Simplify right side
    6,195.75x = 25,402,797.72
  5. Step 5: Solve for x
    x = 25,402,797.72/6,195.75
  6. Step 6: Final answer
    x = 4,100.04

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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.