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Finding the Fourth Proportional to 6,194.36, 9,288.08 and 2,033.26

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Solution

The fourth proportional to 6,194.36, 9,288.08 and 2,033.26 is: 3,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.36 : 9,288.08 = 2,033.26 : x
  2. Step 2: Convert to fraction form
    6,194.36/9,288.08 = 2,033.26/x
  3. Step 3: Cross multiply
    6,194.36x = 9,288.08 × 2,033.26
  4. Step 4: Simplify right side
    6,194.36x = 18,885,024.93
  5. Step 5: Solve for x
    x = 18,885,024.93/6,194.36
  6. Step 6: Final answer
    x = 3,048.75

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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.