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Finding the Fourth Proportional to 6,538.20, 9,807.30 and 5,857.80

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Solution

The fourth proportional to 6,538.20, 9,807.30 and 5,857.80 is: 8,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.20 : 9,807.30 = 5,857.80 : x
  2. Step 2: Convert to fraction form
    6,538.20/9,807.30 = 5,857.80/x
  3. Step 3: Cross multiply
    6,538.20x = 9,807.30 × 5,857.80
  4. Step 4: Simplify right side
    6,538.20x = 57,449,201.94
  5. Step 5: Solve for x
    x = 57,449,201.94/6,538.20
  6. Step 6: Final answer
    x = 8,786.70

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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.