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Finding the Fourth Proportional to 9,408.25, 14,101.43 and 3,854.86

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Solution

The fourth proportional to 9,408.25, 14,101.43 and 3,854.86 is: 5,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.25 : 14,101.43 = 3,854.86 : x
  2. Step 2: Convert to fraction form
    9,408.25/14,101.43 = 3,854.86/x
  3. Step 3: Cross multiply
    9,408.25x = 14,101.43 × 3,854.86
  4. Step 4: Simplify right side
    9,408.25x = 54,358,983.92
  5. Step 5: Solve for x
    x = 54,358,983.92/9,408.25
  6. Step 6: Final answer
    x = 5,777.80

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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.