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Finding the Fourth Proportional to 9,675.96, 14,519.74 and 3,520.44

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Solution

The fourth proportional to 9,675.96, 14,519.74 and 3,520.44 is: 5,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.96 : 14,519.74 = 3,520.44 : x
  2. Step 2: Convert to fraction form
    9,675.96/14,519.74 = 3,520.44/x
  3. Step 3: Cross multiply
    9,675.96x = 14,519.74 × 3,520.44
  4. Step 4: Simplify right side
    9,675.96x = 51,115,873.49
  5. Step 5: Solve for x
    x = 51,115,873.49/9,675.96
  6. Step 6: Final answer
    x = 5,282.77

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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.