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Finding the Fourth Proportional to 6,408.14, 9,612 and 2,709.36

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Solution

The fourth proportional to 6,408.14, 9,612 and 2,709.36 is: 4,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.14 : 9,612 = 2,709.36 : x
  2. Step 2: Convert to fraction form
    6,408.14/9,612 = 2,709.36/x
  3. Step 3: Cross multiply
    6,408.14x = 9,612 × 2,709.36
  4. Step 4: Simplify right side
    6,408.14x = 26,042,368.32
  5. Step 5: Solve for x
    x = 26,042,368.32/6,408.14
  6. Step 6: Final answer
    x = 4,063.95

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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.