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Finding the Fourth Proportional to 9,102.24, 13,649.04 and 3,906

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Solution

The fourth proportional to 9,102.24, 13,649.04 and 3,906 is: 5,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.24 : 13,649.04 = 3,906 : x
  2. Step 2: Convert to fraction form
    9,102.24/13,649.04 = 3,906/x
  3. Step 3: Cross multiply
    9,102.24x = 13,649.04 × 3,906
  4. Step 4: Simplify right side
    9,102.24x = 53,313,150.24
  5. Step 5: Solve for x
    x = 53,313,150.24/9,102.24
  6. Step 6: Final answer
    x = 5,857.15

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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.