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Finding the Fourth Proportional to 6,348.45, 9,522.96 and 1,965.96

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Solution

The fourth proportional to 6,348.45, 9,522.96 and 1,965.96 is: 2,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.45 : 9,522.96 = 1,965.96 : x
  2. Step 2: Convert to fraction form
    6,348.45/9,522.96 = 1,965.96/x
  3. Step 3: Cross multiply
    6,348.45x = 9,522.96 × 1,965.96
  4. Step 4: Simplify right side
    6,348.45x = 18,721,758.44
  5. Step 5: Solve for x
    x = 18,721,758.44/6,348.45
  6. Step 6: Final answer
    x = 2,949.03

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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.