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Finding the Fourth Proportional to 6,941.57, 9,579.60 and 3,797.76

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Solution

The fourth proportional to 6,941.57, 9,579.60 and 3,797.76 is: 5,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.57 : 9,579.60 = 3,797.76 : x
  2. Step 2: Convert to fraction form
    6,941.57/9,579.60 = 3,797.76/x
  3. Step 3: Cross multiply
    6,941.57x = 9,579.60 × 3,797.76
  4. Step 4: Simplify right side
    6,941.57x = 36,381,021.70
  5. Step 5: Solve for x
    x = 36,381,021.70/6,941.57
  6. Step 6: Final answer
    x = 5,241.04

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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.