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Finding the Fourth Proportional to 9,450.60, 14,142.30 and 8,231.40

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Solution

The fourth proportional to 9,450.60, 14,142.30 and 8,231.40 is: 12,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.60 : 14,142.30 = 8,231.40 : x
  2. Step 2: Convert to fraction form
    9,450.60/14,142.30 = 8,231.40/x
  3. Step 3: Cross multiply
    9,450.60x = 14,142.30 × 8,231.40
  4. Step 4: Simplify right side
    9,450.60x = 116,410,928.22
  5. Step 5: Solve for x
    x = 116,410,928.22/9,450.60
  6. Step 6: Final answer
    x = 12,317.83

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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.