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Finding the Fourth Proportional to 6,069.01, 9,096.13 and 3,289.09

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Solution

The fourth proportional to 6,069.01, 9,096.13 and 3,289.09 is: 4,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.01 : 9,096.13 = 3,289.09 : x
  2. Step 2: Convert to fraction form
    6,069.01/9,096.13 = 3,289.09/x
  3. Step 3: Cross multiply
    6,069.01x = 9,096.13 × 3,289.09
  4. Step 4: Simplify right side
    6,069.01x = 29,917,936.52
  5. Step 5: Solve for x
    x = 29,917,936.52/6,069.01
  6. Step 6: Final answer
    x = 4,929.63

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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.