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Finding the Fourth Proportional to 6,006.44, 9,004.55 and 2,306.09

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Solution

The fourth proportional to 6,006.44, 9,004.55 and 2,306.09 is: 3,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.44 : 9,004.55 = 2,306.09 : x
  2. Step 2: Convert to fraction form
    6,006.44/9,004.55 = 2,306.09/x
  3. Step 3: Cross multiply
    6,006.44x = 9,004.55 × 2,306.09
  4. Step 4: Simplify right side
    6,006.44x = 20,765,313.69
  5. Step 5: Solve for x
    x = 20,765,313.69/6,006.44
  6. Step 6: Final answer
    x = 3,457.17

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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.