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Finding the Fourth Proportional to 9,676.53, 13,353.44 and 8,179.82

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Solution

The fourth proportional to 9,676.53, 13,353.44 and 8,179.82 is: 11,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.53 : 13,353.44 = 8,179.82 : x
  2. Step 2: Convert to fraction form
    9,676.53/13,353.44 = 8,179.82/x
  3. Step 3: Cross multiply
    9,676.53x = 13,353.44 × 8,179.82
  4. Step 4: Simplify right side
    9,676.53x = 109,228,668.81
  5. Step 5: Solve for x
    x = 109,228,668.81/9,676.53
  6. Step 6: Final answer
    x = 11,288.01

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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.