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Finding the Fourth Proportional to 9,102.06, 13,649.22 and 3,839.42

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Solution

The fourth proportional to 9,102.06, 13,649.22 and 3,839.42 is: 5,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.06 : 13,649.22 = 3,839.42 : x
  2. Step 2: Convert to fraction form
    9,102.06/13,649.22 = 3,839.42/x
  3. Step 3: Cross multiply
    9,102.06x = 13,649.22 × 3,839.42
  4. Step 4: Simplify right side
    9,102.06x = 52,405,088.25
  5. Step 5: Solve for x
    x = 52,405,088.25/9,102.06
  6. Step 6: Final answer
    x = 5,757.50

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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.