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Finding the Fourth Proportional to 6,191.77, 9,287.33 and 2,031.23

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Solution

The fourth proportional to 6,191.77, 9,287.33 and 2,031.23 is: 3,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.77 : 9,287.33 = 2,031.23 : x
  2. Step 2: Convert to fraction form
    6,191.77/9,287.33 = 2,031.23/x
  3. Step 3: Cross multiply
    6,191.77x = 9,287.33 × 2,031.23
  4. Step 4: Simplify right side
    6,191.77x = 18,864,698.24
  5. Step 5: Solve for x
    x = 18,864,698.24/6,191.77
  6. Step 6: Final answer
    x = 3,046.74

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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.