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Finding the Fourth Proportional to 6,851.82, 9,446.70 and 5,591.61

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Solution

The fourth proportional to 6,851.82, 9,446.70 and 5,591.61 is: 7,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.82 : 9,446.70 = 5,591.61 : x
  2. Step 2: Convert to fraction form
    6,851.82/9,446.70 = 5,591.61/x
  3. Step 3: Cross multiply
    6,851.82x = 9,446.70 × 5,591.61
  4. Step 4: Simplify right side
    6,851.82x = 52,822,262.19
  5. Step 5: Solve for x
    x = 52,822,262.19/6,851.82
  6. Step 6: Final answer
    x = 7,709.23

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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.