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Finding the Fourth Proportional to 6,570.36, 9,857.54 and 3,940.79

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Solution

The fourth proportional to 6,570.36, 9,857.54 and 3,940.79 is: 5,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.36 : 9,857.54 = 3,940.79 : x
  2. Step 2: Convert to fraction form
    6,570.36/9,857.54 = 3,940.79/x
  3. Step 3: Cross multiply
    6,570.36x = 9,857.54 × 3,940.79
  4. Step 4: Simplify right side
    6,570.36x = 38,846,455.62
  5. Step 5: Solve for x
    x = 38,846,455.62/6,570.36
  6. Step 6: Final answer
    x = 5,912.38

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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.