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Finding the Fourth Proportional to 9,964.36, 13,735.78 and 8,192.89

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Solution

The fourth proportional to 9,964.36, 13,735.78 and 8,192.89 is: 11,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.36 : 13,735.78 = 8,192.89 : x
  2. Step 2: Convert to fraction form
    9,964.36/13,735.78 = 8,192.89/x
  3. Step 3: Cross multiply
    9,964.36x = 13,735.78 × 8,192.89
  4. Step 4: Simplify right side
    9,964.36x = 112,535,624.96
  5. Step 5: Solve for x
    x = 112,535,624.96/9,964.36
  6. Step 6: Final answer
    x = 11,293.82

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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.