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Finding the Fourth Proportional to 6,851.13, 9,454.39 and 3,866.88

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Solution

The fourth proportional to 6,851.13, 9,454.39 and 3,866.88 is: 5,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.13 : 9,454.39 = 3,866.88 : x
  2. Step 2: Convert to fraction form
    6,851.13/9,454.39 = 3,866.88/x
  3. Step 3: Cross multiply
    6,851.13x = 9,454.39 × 3,866.88
  4. Step 4: Simplify right side
    6,851.13x = 36,558,991.60
  5. Step 5: Solve for x
    x = 36,558,991.60/6,851.13
  6. Step 6: Final answer
    x = 5,336.20

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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.