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Finding the Fourth Proportional to 6,686.56, 9,227.77 and 3,854.36

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Solution

The fourth proportional to 6,686.56, 9,227.77 and 3,854.36 is: 5,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.56 : 9,227.77 = 3,854.36 : x
  2. Step 2: Convert to fraction form
    6,686.56/9,227.77 = 3,854.36/x
  3. Step 3: Cross multiply
    6,686.56x = 9,227.77 × 3,854.36
  4. Step 4: Simplify right side
    6,686.56x = 35,567,147.58
  5. Step 5: Solve for x
    x = 35,567,147.58/6,686.56
  6. Step 6: Final answer
    x = 5,319.20

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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.