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Finding the Fourth Proportional to 6,408.52, 9,612.88 and 2,029.05

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Solution

The fourth proportional to 6,408.52, 9,612.88 and 2,029.05 is: 3,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.52 : 9,612.88 = 2,029.05 : x
  2. Step 2: Convert to fraction form
    6,408.52/9,612.88 = 2,029.05/x
  3. Step 3: Cross multiply
    6,408.52x = 9,612.88 × 2,029.05
  4. Step 4: Simplify right side
    6,408.52x = 19,505,009.09
  5. Step 5: Solve for x
    x = 19,505,009.09/6,408.52
  6. Step 6: Final answer
    x = 3,043.61

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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.