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Finding the Fourth Proportional to 9,588.96, 13,236.84 and 6,446.97

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Solution

The fourth proportional to 9,588.96, 13,236.84 and 6,446.97 is: 8,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.96 : 13,236.84 = 6,446.97 : x
  2. Step 2: Convert to fraction form
    9,588.96/13,236.84 = 6,446.97/x
  3. Step 3: Cross multiply
    9,588.96x = 13,236.84 × 6,446.97
  4. Step 4: Simplify right side
    9,588.96x = 85,337,510.37
  5. Step 5: Solve for x
    x = 85,337,510.37/9,588.96
  6. Step 6: Final answer
    x = 8,899.56

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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.