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Finding the Fourth Proportional to 6,711.99, 9,261.86 and 3,919.11

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Solution

The fourth proportional to 6,711.99, 9,261.86 and 3,919.11 is: 5,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.99 : 9,261.86 = 3,919.11 : x
  2. Step 2: Convert to fraction form
    6,711.99/9,261.86 = 3,919.11/x
  3. Step 3: Cross multiply
    6,711.99x = 9,261.86 × 3,919.11
  4. Step 4: Simplify right side
    6,711.99x = 36,298,248.14
  5. Step 5: Solve for x
    x = 36,298,248.14/6,711.99
  6. Step 6: Final answer
    x = 5,407.97

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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.