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Finding the Fourth Proportional to 6,399.69, 8,837.04 and 6,114.33

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Solution

The fourth proportional to 6,399.69, 8,837.04 and 6,114.33 is: 8,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.69 : 8,837.04 = 6,114.33 : x
  2. Step 2: Convert to fraction form
    6,399.69/8,837.04 = 6,114.33/x
  3. Step 3: Cross multiply
    6,399.69x = 8,837.04 × 6,114.33
  4. Step 4: Simplify right side
    6,399.69x = 54,032,578.78
  5. Step 5: Solve for x
    x = 54,032,578.78/6,399.69
  6. Step 6: Final answer
    x = 8,443.00

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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.