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Finding the Fourth Proportional to 6,685.41, 9,226.00 and 3,999.40

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Solution

The fourth proportional to 6,685.41, 9,226.00 and 3,999.40 is: 5,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.41 : 9,226.00 = 3,999.40 : x
  2. Step 2: Convert to fraction form
    6,685.41/9,226.00 = 3,999.40/x
  3. Step 3: Cross multiply
    6,685.41x = 9,226.00 × 3,999.40
  4. Step 4: Simplify right side
    6,685.41x = 36,898,398.27
  5. Step 5: Solve for x
    x = 36,898,398.27/6,685.41
  6. Step 6: Final answer
    x = 5,519.24

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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.