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Finding the Fourth Proportional to 9,546.40, 14,319.60 and 8,234.20

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Solution

The fourth proportional to 9,546.40, 14,319.60 and 8,234.20 is: 12,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.40 : 14,319.60 = 8,234.20 : x
  2. Step 2: Convert to fraction form
    9,546.40/14,319.60 = 8,234.20/x
  3. Step 3: Cross multiply
    9,546.40x = 14,319.60 × 8,234.20
  4. Step 4: Simplify right side
    9,546.40x = 117,910,450.32
  5. Step 5: Solve for x
    x = 117,910,450.32/9,546.40
  6. Step 6: Final answer
    x = 12,351.30

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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.