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Finding the Fourth Proportional to 6,408.45, 9,611.85 and 2,026.35

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Solution

The fourth proportional to 6,408.45, 9,611.85 and 2,026.35 is: 3,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.45 : 9,611.85 = 2,026.35 : x
  2. Step 2: Convert to fraction form
    6,408.45/9,611.85 = 2,026.35/x
  3. Step 3: Cross multiply
    6,408.45x = 9,611.85 × 2,026.35
  4. Step 4: Simplify right side
    6,408.45x = 19,476,972.25
  5. Step 5: Solve for x
    x = 19,476,972.25/6,408.45
  6. Step 6: Final answer
    x = 3,039.26

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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.