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Finding the Fourth Proportional to 6,005.57, 9,012.94 and 3,234.56

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Solution

The fourth proportional to 6,005.57, 9,012.94 and 3,234.56 is: 4,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.57 : 9,012.94 = 3,234.56 : x
  2. Step 2: Convert to fraction form
    6,005.57/9,012.94 = 3,234.56/x
  3. Step 3: Cross multiply
    6,005.57x = 9,012.94 × 3,234.56
  4. Step 4: Simplify right side
    6,005.57x = 29,152,842.06
  5. Step 5: Solve for x
    x = 29,152,842.06/6,005.57
  6. Step 6: Final answer
    x = 4,854.30

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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.