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Finding the Fourth Proportional to 9,408.35, 14,114.90 and 6,640.43

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Solution

The fourth proportional to 9,408.35, 14,114.90 and 6,640.43 is: 9,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.35 : 14,114.90 = 6,640.43 : x
  2. Step 2: Convert to fraction form
    9,408.35/14,114.90 = 6,640.43/x
  3. Step 3: Cross multiply
    9,408.35x = 14,114.90 × 6,640.43
  4. Step 4: Simplify right side
    9,408.35x = 93,729,026.16
  5. Step 5: Solve for x
    x = 93,729,026.16/9,408.35
  6. Step 6: Final answer
    x = 9,962.32

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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.