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Finding the Fourth Proportional to 6,686.36, 9,229.17 and 4,328.66

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Solution

The fourth proportional to 6,686.36, 9,229.17 and 4,328.66 is: 5,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.36 : 9,229.17 = 4,328.66 : x
  2. Step 2: Convert to fraction form
    6,686.36/9,229.17 = 4,328.66/x
  3. Step 3: Cross multiply
    6,686.36x = 9,229.17 × 4,328.66
  4. Step 4: Simplify right side
    6,686.36x = 39,949,892.87
  5. Step 5: Solve for x
    x = 39,949,892.87/6,686.36
  6. Step 6: Final answer
    x = 5,974.84

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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.