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Finding the Fourth Proportional to 6,485.36, 9,713.40 and 3,882.80

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Solution

The fourth proportional to 6,485.36, 9,713.40 and 3,882.80 is: 5,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.36 : 9,713.40 = 3,882.80 : x
  2. Step 2: Convert to fraction form
    6,485.36/9,713.40 = 3,882.80/x
  3. Step 3: Cross multiply
    6,485.36x = 9,713.40 × 3,882.80
  4. Step 4: Simplify right side
    6,485.36x = 37,715,189.52
  5. Step 5: Solve for x
    x = 37,715,189.52/6,485.36
  6. Step 6: Final answer
    x = 5,815.43

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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.