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Finding the Fourth Proportional to 9,221.32, 13,832.84 and 3,673.32

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Solution

The fourth proportional to 9,221.32, 13,832.84 and 3,673.32 is: 5,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.32 : 13,832.84 = 3,673.32 : x
  2. Step 2: Convert to fraction form
    9,221.32/13,832.84 = 3,673.32/x
  3. Step 3: Cross multiply
    9,221.32x = 13,832.84 × 3,673.32
  4. Step 4: Simplify right side
    9,221.32x = 50,812,447.83
  5. Step 5: Solve for x
    x = 50,812,447.83/9,221.32
  6. Step 6: Final answer
    x = 5,510.32

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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.