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Finding the Fourth Proportional to 6,730.41, 9,286.81 and 6,186.03

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Solution

The fourth proportional to 6,730.41, 9,286.81 and 6,186.03 is: 8,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.41 : 9,286.81 = 6,186.03 : x
  2. Step 2: Convert to fraction form
    6,730.41/9,286.81 = 6,186.03/x
  3. Step 3: Cross multiply
    6,730.41x = 9,286.81 × 6,186.03
  4. Step 4: Simplify right side
    6,730.41x = 57,448,485.26
  5. Step 5: Solve for x
    x = 57,448,485.26/6,730.41
  6. Step 6: Final answer
    x = 8,535.66

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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.