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Finding the Fourth Proportional to 6,638.95, 9,958.43 and 5,179.33

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Solution

The fourth proportional to 6,638.95, 9,958.43 and 5,179.33 is: 7,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.95 : 9,958.43 = 5,179.33 : x
  2. Step 2: Convert to fraction form
    6,638.95/9,958.43 = 5,179.33/x
  3. Step 3: Cross multiply
    6,638.95x = 9,958.43 × 5,179.33
  4. Step 4: Simplify right side
    6,638.95x = 51,577,995.25
  5. Step 5: Solve for x
    x = 51,577,995.25/6,638.95
  6. Step 6: Final answer
    x = 7,769.00

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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.