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Finding the Fourth Proportional to 6,943.68, 9,581.64 and 3,958.80

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Solution

The fourth proportional to 6,943.68, 9,581.64 and 3,958.80 is: 5,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.68 : 9,581.64 = 3,958.80 : x
  2. Step 2: Convert to fraction form
    6,943.68/9,581.64 = 3,958.80/x
  3. Step 3: Cross multiply
    6,943.68x = 9,581.64 × 3,958.80
  4. Step 4: Simplify right side
    6,943.68x = 37,931,796.43
  5. Step 5: Solve for x
    x = 37,931,796.43/6,943.68
  6. Step 6: Final answer
    x = 5,462.78

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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.