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Finding the Fourth Proportional to 6,474.18, 9,708.84 and 3,009

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Solution

The fourth proportional to 6,474.18, 9,708.84 and 3,009 is: 4,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.18 : 9,708.84 = 3,009 : x
  2. Step 2: Convert to fraction form
    6,474.18/9,708.84 = 3,009/x
  3. Step 3: Cross multiply
    6,474.18x = 9,708.84 × 3,009
  4. Step 4: Simplify right side
    6,474.18x = 29,213,899.56
  5. Step 5: Solve for x
    x = 29,213,899.56/6,474.18
  6. Step 6: Final answer
    x = 4,512.37

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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.