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Finding the Fourth Proportional to 6,009.09, 9,012.02 and 2,311.44

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Solution

The fourth proportional to 6,009.09, 9,012.02 and 2,311.44 is: 3,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.09 : 9,012.02 = 2,311.44 : x
  2. Step 2: Convert to fraction form
    6,009.09/9,012.02 = 2,311.44/x
  3. Step 3: Cross multiply
    6,009.09x = 9,012.02 × 2,311.44
  4. Step 4: Simplify right side
    6,009.09x = 20,830,731.95
  5. Step 5: Solve for x
    x = 20,830,731.95/6,009.09
  6. Step 6: Final answer
    x = 3,466.54

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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.