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Finding the Fourth Proportional to 6,179.33, 9,264.89 and 3,407.33

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Solution

The fourth proportional to 6,179.33, 9,264.89 and 3,407.33 is: 5,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.33 : 9,264.89 = 3,407.33 : x
  2. Step 2: Convert to fraction form
    6,179.33/9,264.89 = 3,407.33/x
  3. Step 3: Cross multiply
    6,179.33x = 9,264.89 × 3,407.33
  4. Step 4: Simplify right side
    6,179.33x = 31,568,499.84
  5. Step 5: Solve for x
    x = 31,568,499.84/6,179.33
  6. Step 6: Final answer
    x = 5,108.73

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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.