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Finding the Fourth Proportional to 6,802.68, 9,391.02 and 5,286.66

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Solution

The fourth proportional to 6,802.68, 9,391.02 and 5,286.66 is: 7,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.68 : 9,391.02 = 5,286.66 : x
  2. Step 2: Convert to fraction form
    6,802.68/9,391.02 = 5,286.66/x
  3. Step 3: Cross multiply
    6,802.68x = 9,391.02 × 5,286.66
  4. Step 4: Simplify right side
    6,802.68x = 49,647,129.79
  5. Step 5: Solve for x
    x = 49,647,129.79/6,802.68
  6. Step 6: Final answer
    x = 7,298.17

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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.