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Finding the Fourth Proportional to 11,967.35, 17,991.56 and 9,643.67

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Solution

The fourth proportional to 11,967.35, 17,991.56 and 9,643.67 is: 14,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.35 : 17,991.56 = 9,643.67 : x
  2. Step 2: Convert to fraction form
    11,967.35/17,991.56 = 9,643.67/x
  3. Step 3: Cross multiply
    11,967.35x = 17,991.56 × 9,643.67
  4. Step 4: Simplify right side
    11,967.35x = 173,504,601.58
  5. Step 5: Solve for x
    x = 173,504,601.58/11,967.35
  6. Step 6: Final answer
    x = 14,498.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.