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Finding the Fourth Proportional to 9,431.92, 14,118.72 and 8,032.24

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Solution

The fourth proportional to 9,431.92, 14,118.72 and 8,032.24 is: 12,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.92 : 14,118.72 = 8,032.24 : x
  2. Step 2: Convert to fraction form
    9,431.92/14,118.72 = 8,032.24/x
  3. Step 3: Cross multiply
    9,431.92x = 14,118.72 × 8,032.24
  4. Step 4: Simplify right side
    9,431.92x = 113,404,947.53
  5. Step 5: Solve for x
    x = 113,404,947.53/9,431.92
  6. Step 6: Final answer
    x = 12,023.53

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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.