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Finding the Fourth Proportional to 6,723.36, 10,083.71 and 6,389.97

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Solution

The fourth proportional to 6,723.36, 10,083.71 and 6,389.97 is: 9,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.36 : 10,083.71 = 6,389.97 : x
  2. Step 2: Convert to fraction form
    6,723.36/10,083.71 = 6,389.97/x
  3. Step 3: Cross multiply
    6,723.36x = 10,083.71 × 6,389.97
  4. Step 4: Simplify right side
    6,723.36x = 64,434,563.20
  5. Step 5: Solve for x
    x = 64,434,563.20/6,723.36
  6. Step 6: Final answer
    x = 9,583.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.