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Finding the Fourth Proportional to 6,855.66, 9,460.86 and 3,711.85

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Solution

The fourth proportional to 6,855.66, 9,460.86 and 3,711.85 is: 5,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.66 : 9,460.86 = 3,711.85 : x
  2. Step 2: Convert to fraction form
    6,855.66/9,460.86 = 3,711.85/x
  3. Step 3: Cross multiply
    6,855.66x = 9,460.86 × 3,711.85
  4. Step 4: Simplify right side
    6,855.66x = 35,117,255.62
  5. Step 5: Solve for x
    x = 35,117,255.62/6,855.66
  6. Step 6: Final answer
    x = 5,122.37

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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.