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Finding the Fourth Proportional to 6,351.91, 9,509.13 and 4,004.73

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Solution

The fourth proportional to 6,351.91, 9,509.13 and 4,004.73 is: 5,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.91 : 9,509.13 = 4,004.73 : x
  2. Step 2: Convert to fraction form
    6,351.91/9,509.13 = 4,004.73/x
  3. Step 3: Cross multiply
    6,351.91x = 9,509.13 × 4,004.73
  4. Step 4: Simplify right side
    6,351.91x = 38,081,498.18
  5. Step 5: Solve for x
    x = 38,081,498.18/6,351.91
  6. Step 6: Final answer
    x = 5,995.29

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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.