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Finding the Fourth Proportional to 9,408.92, 14,111.32 and 3,856.80

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Solution

The fourth proportional to 9,408.92, 14,111.32 and 3,856.80 is: 5,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.92 : 14,111.32 = 3,856.80 : x
  2. Step 2: Convert to fraction form
    9,408.92/14,111.32 = 3,856.80/x
  3. Step 3: Cross multiply
    9,408.92x = 14,111.32 × 3,856.80
  4. Step 4: Simplify right side
    9,408.92x = 54,424,538.98
  5. Step 5: Solve for x
    x = 54,424,538.98/9,408.92
  6. Step 6: Final answer
    x = 5,784.36

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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.