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Finding the Fourth Proportional to 6,941.27, 9,579.20 and 3,797.46

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Solution

The fourth proportional to 6,941.27, 9,579.20 and 3,797.46 is: 5,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.27 : 9,579.20 = 3,797.46 : x
  2. Step 2: Convert to fraction form
    6,941.27/9,579.20 = 3,797.46/x
  3. Step 3: Cross multiply
    6,941.27x = 9,579.20 × 3,797.46
  4. Step 4: Simplify right side
    6,941.27x = 36,376,609.84
  5. Step 5: Solve for x
    x = 36,376,609.84/6,941.27
  6. Step 6: Final answer
    x = 5,240.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.