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Finding the Fourth Proportional to 6,446.75, 8,896.34 and 3,614.24

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Solution

The fourth proportional to 6,446.75, 8,896.34 and 3,614.24 is: 4,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.75 : 8,896.34 = 3,614.24 : x
  2. Step 2: Convert to fraction form
    6,446.75/8,896.34 = 3,614.24/x
  3. Step 3: Cross multiply
    6,446.75x = 8,896.34 × 3,614.24
  4. Step 4: Simplify right side
    6,446.75x = 32,153,445.33
  5. Step 5: Solve for x
    x = 32,153,445.33/6,446.75
  6. Step 6: Final answer
    x = 4,987.55

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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.