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Finding the Fourth Proportional to 6,221.13, 8,584.34 and 3,832.35

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Solution

The fourth proportional to 6,221.13, 8,584.34 and 3,832.35 is: 5,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.13 : 8,584.34 = 3,832.35 : x
  2. Step 2: Convert to fraction form
    6,221.13/8,584.34 = 3,832.35/x
  3. Step 3: Cross multiply
    6,221.13x = 8,584.34 × 3,832.35
  4. Step 4: Simplify right side
    6,221.13x = 32,898,176.24
  5. Step 5: Solve for x
    x = 32,898,176.24/6,221.13
  6. Step 6: Final answer
    x = 5,288.14

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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.