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Finding the Fourth Proportional to 6,731.57, 9,289.87 and 3,899.07

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Solution

The fourth proportional to 6,731.57, 9,289.87 and 3,899.07 is: 5,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.57 : 9,289.87 = 3,899.07 : x
  2. Step 2: Convert to fraction form
    6,731.57/9,289.87 = 3,899.07/x
  3. Step 3: Cross multiply
    6,731.57x = 9,289.87 × 3,899.07
  4. Step 4: Simplify right side
    6,731.57x = 36,221,853.42
  5. Step 5: Solve for x
    x = 36,221,853.42/6,731.57
  6. Step 6: Final answer
    x = 5,380.89

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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.