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Finding the Fourth Proportional to 9,981.23, 13,765.34 and 7,991.06

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Solution

The fourth proportional to 9,981.23, 13,765.34 and 7,991.06 is: 11,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.23 : 13,765.34 = 7,991.06 : x
  2. Step 2: Convert to fraction form
    9,981.23/13,765.34 = 7,991.06/x
  3. Step 3: Cross multiply
    9,981.23x = 13,765.34 × 7,991.06
  4. Step 4: Simplify right side
    9,981.23x = 109,999,609.01
  5. Step 5: Solve for x
    x = 109,999,609.01/9,981.23
  6. Step 6: Final answer
    x = 11,020.65

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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.