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Finding the Fourth Proportional to 9,408.93, 14,102.70 and 3,855.15

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Solution

The fourth proportional to 9,408.93, 14,102.70 and 3,855.15 is: 5,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.93 : 14,102.70 = 3,855.15 : x
  2. Step 2: Convert to fraction form
    9,408.93/14,102.70 = 3,855.15/x
  3. Step 3: Cross multiply
    9,408.93x = 14,102.70 × 3,855.15
  4. Step 4: Simplify right side
    9,408.93x = 54,368,023.91
  5. Step 5: Solve for x
    x = 54,368,023.91/9,408.93
  6. Step 6: Final answer
    x = 5,778.34

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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.