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Finding the Fourth Proportional to 9,583.40, 14,375.10 and 8,546.60

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Solution

The fourth proportional to 9,583.40, 14,375.10 and 8,546.60 is: 12,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.40 : 14,375.10 = 8,546.60 : x
  2. Step 2: Convert to fraction form
    9,583.40/14,375.10 = 8,546.60/x
  3. Step 3: Cross multiply
    9,583.40x = 14,375.10 × 8,546.60
  4. Step 4: Simplify right side
    9,583.40x = 122,858,229.66
  5. Step 5: Solve for x
    x = 122,858,229.66/9,583.40
  6. Step 6: Final answer
    x = 12,819.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.