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Finding the Fourth Proportional to 6,711.09, 9,265.94 and 4,194.34

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Solution

The fourth proportional to 6,711.09, 9,265.94 and 4,194.34 is: 5,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.09 : 9,265.94 = 4,194.34 : x
  2. Step 2: Convert to fraction form
    6,711.09/9,265.94 = 4,194.34/x
  3. Step 3: Cross multiply
    6,711.09x = 9,265.94 × 4,194.34
  4. Step 4: Simplify right side
    6,711.09x = 38,864,484.93
  5. Step 5: Solve for x
    x = 38,864,484.93/6,711.09
  6. Step 6: Final answer
    x = 5,791.08

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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.