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Finding the Fourth Proportional to 6,953.72, 9,596.36 and 3,809.90

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Solution

The fourth proportional to 6,953.72, 9,596.36 and 3,809.90 is: 5,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.72 : 9,596.36 = 3,809.90 : x
  2. Step 2: Convert to fraction form
    6,953.72/9,596.36 = 3,809.90/x
  3. Step 3: Cross multiply
    6,953.72x = 9,596.36 × 3,809.90
  4. Step 4: Simplify right side
    6,953.72x = 36,561,104.93
  5. Step 5: Solve for x
    x = 36,561,104.93/6,953.72
  6. Step 6: Final answer
    x = 5,257.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.