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Finding the Fourth Proportional to 9,102.92, 13,649.97 and 3,179.66

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Solution

The fourth proportional to 9,102.92, 13,649.97 and 3,179.66 is: 4,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.92 : 13,649.97 = 3,179.66 : x
  2. Step 2: Convert to fraction form
    9,102.92/13,649.97 = 3,179.66/x
  3. Step 3: Cross multiply
    9,102.92x = 13,649.97 × 3,179.66
  4. Step 4: Simplify right side
    9,102.92x = 43,402,195.36
  5. Step 5: Solve for x
    x = 43,402,195.36/9,102.92
  6. Step 6: Final answer
    x = 4,767.94

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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.