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Finding the Fourth Proportional to 9,586.82, 14,380.32 and 3,012.86

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Solution

The fourth proportional to 9,586.82, 14,380.32 and 3,012.86 is: 4,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.82 : 14,380.32 = 3,012.86 : x
  2. Step 2: Convert to fraction form
    9,586.82/14,380.32 = 3,012.86/x
  3. Step 3: Cross multiply
    9,586.82x = 14,380.32 × 3,012.86
  4. Step 4: Simplify right side
    9,586.82x = 43,325,890.92
  5. Step 5: Solve for x
    x = 43,325,890.92/9,586.82
  6. Step 6: Final answer
    x = 4,519.32

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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.