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Finding the Fourth Proportional to 6,686.36, 9,228.06 and 3,853.64

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Solution

The fourth proportional to 6,686.36, 9,228.06 and 3,853.64 is: 5,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.36 : 9,228.06 = 3,853.64 : x
  2. Step 2: Convert to fraction form
    6,686.36/9,228.06 = 3,853.64/x
  3. Step 3: Cross multiply
    6,686.36x = 9,228.06 × 3,853.64
  4. Step 4: Simplify right side
    6,686.36x = 35,561,621.14
  5. Step 5: Solve for x
    x = 35,561,621.14/6,686.36
  6. Step 6: Final answer
    x = 5,318.53

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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.