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Finding the Fourth Proportional to 6,408.04, 9,612.92 and 2,511.96

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Solution

The fourth proportional to 6,408.04, 9,612.92 and 2,511.96 is: 3,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.04 : 9,612.92 = 2,511.96 : x
  2. Step 2: Convert to fraction form
    6,408.04/9,612.92 = 2,511.96/x
  3. Step 3: Cross multiply
    6,408.04x = 9,612.92 × 2,511.96
  4. Step 4: Simplify right side
    6,408.04x = 24,147,270.52
  5. Step 5: Solve for x
    x = 24,147,270.52/6,408.04
  6. Step 6: Final answer
    x = 3,768.28

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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.