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Finding the Fourth Proportional to 6,348.30, 9,524.88 and 1,967.28

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Solution

The fourth proportional to 6,348.30, 9,524.88 and 1,967.28 is: 2,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.30 : 9,524.88 = 1,967.28 : x
  2. Step 2: Convert to fraction form
    6,348.30/9,524.88 = 1,967.28/x
  3. Step 3: Cross multiply
    6,348.30x = 9,524.88 × 1,967.28
  4. Step 4: Simplify right side
    6,348.30x = 18,738,105.93
  5. Step 5: Solve for x
    x = 18,738,105.93/6,348.30
  6. Step 6: Final answer
    x = 2,951.67

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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.