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Finding the Fourth Proportional to 9,588.43, 13,236.13 and 6,446.44

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Solution

The fourth proportional to 9,588.43, 13,236.13 and 6,446.44 is: 8,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.43 : 13,236.13 = 6,446.44 : x
  2. Step 2: Convert to fraction form
    9,588.43/13,236.13 = 6,446.44/x
  3. Step 3: Cross multiply
    9,588.43x = 13,236.13 × 6,446.44
  4. Step 4: Simplify right side
    9,588.43x = 85,325,997.84
  5. Step 5: Solve for x
    x = 85,325,997.84/9,588.43
  6. Step 6: Final answer
    x = 8,898.85

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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.