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Finding the Fourth Proportional to 6,393.06, 9,589.37 and 2,233.06

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Solution

The fourth proportional to 6,393.06, 9,589.37 and 2,233.06 is: 3,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.06 : 9,589.37 = 2,233.06 : x
  2. Step 2: Convert to fraction form
    6,393.06/9,589.37 = 2,233.06/x
  3. Step 3: Cross multiply
    6,393.06x = 9,589.37 × 2,233.06
  4. Step 4: Simplify right side
    6,393.06x = 21,413,579.46
  5. Step 5: Solve for x
    x = 21,413,579.46/6,393.06
  6. Step 6: Final answer
    x = 3,349.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.