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Finding the Fourth Proportional to 6,209.52, 8,570.34 and 4,081.31

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Solution

The fourth proportional to 6,209.52, 8,570.34 and 4,081.31 is: 5,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.52 : 8,570.34 = 4,081.31 : x
  2. Step 2: Convert to fraction form
    6,209.52/8,570.34 = 4,081.31/x
  3. Step 3: Cross multiply
    6,209.52x = 8,570.34 × 4,081.31
  4. Step 4: Simplify right side
    6,209.52x = 34,978,171.49
  5. Step 5: Solve for x
    x = 34,978,171.49/6,209.52
  6. Step 6: Final answer
    x = 5,632.99

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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.