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Finding the Fourth Proportional to 6,408.15, 9,612.23 and 2,709.42

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Solution

The fourth proportional to 6,408.15, 9,612.23 and 2,709.42 is: 4,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.15 : 9,612.23 = 2,709.42 : x
  2. Step 2: Convert to fraction form
    6,408.15/9,612.23 = 2,709.42/x
  3. Step 3: Cross multiply
    6,408.15x = 9,612.23 × 2,709.42
  4. Step 4: Simplify right side
    6,408.15x = 26,043,554.66
  5. Step 5: Solve for x
    x = 26,043,554.66/6,408.15
  6. Step 6: Final answer
    x = 4,064.13

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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.