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Finding the Fourth Proportional to 6,705.30, 9,243.15 and 5,286.48

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Solution

The fourth proportional to 6,705.30, 9,243.15 and 5,286.48 is: 7,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.30 : 9,243.15 = 5,286.48 : x
  2. Step 2: Convert to fraction form
    6,705.30/9,243.15 = 5,286.48/x
  3. Step 3: Cross multiply
    6,705.30x = 9,243.15 × 5,286.48
  4. Step 4: Simplify right side
    6,705.30x = 48,863,727.61
  5. Step 5: Solve for x
    x = 48,863,727.61/6,705.30
  6. Step 6: Final answer
    x = 7,287.33

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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.