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Finding the Fourth Proportional to 6,009.09, 9,006.75 and 2,309.42

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Solution

The fourth proportional to 6,009.09, 9,006.75 and 2,309.42 is: 3,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.09 : 9,006.75 = 2,309.42 : x
  2. Step 2: Convert to fraction form
    6,009.09/9,006.75 = 2,309.42/x
  3. Step 3: Cross multiply
    6,009.09x = 9,006.75 × 2,309.42
  4. Step 4: Simplify right side
    6,009.09x = 20,800,323.55
  5. Step 5: Solve for x
    x = 20,800,323.55/6,009.09
  6. Step 6: Final answer
    x = 3,461.48

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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.