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Finding the Fourth Proportional to 6,009.06, 8,294.34 and 3,491.82

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Solution

The fourth proportional to 6,009.06, 8,294.34 and 3,491.82 is: 4,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.06 : 8,294.34 = 3,491.82 : x
  2. Step 2: Convert to fraction form
    6,009.06/8,294.34 = 3,491.82/x
  3. Step 3: Cross multiply
    6,009.06x = 8,294.34 × 3,491.82
  4. Step 4: Simplify right side
    6,009.06x = 28,962,342.30
  5. Step 5: Solve for x
    x = 28,962,342.30/6,009.06
  6. Step 6: Final answer
    x = 4,819.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.