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Finding the Fourth Proportional to 9,235.66, 13,847.82 and 3,682.58

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Solution

The fourth proportional to 9,235.66, 13,847.82 and 3,682.58 is: 5,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.66 : 13,847.82 = 3,682.58 : x
  2. Step 2: Convert to fraction form
    9,235.66/13,847.82 = 3,682.58/x
  3. Step 3: Cross multiply
    9,235.66x = 13,847.82 × 3,682.58
  4. Step 4: Simplify right side
    9,235.66x = 50,995,704.98
  5. Step 5: Solve for x
    x = 50,995,704.98/9,235.66
  6. Step 6: Final answer
    x = 5,521.61

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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.