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Finding the Fourth Proportional to 9,409.25, 14,161.14 and 7,081.31

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Solution

The fourth proportional to 9,409.25, 14,161.14 and 7,081.31 is: 10,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.25 : 14,161.14 = 7,081.31 : x
  2. Step 2: Convert to fraction form
    9,409.25/14,161.14 = 7,081.31/x
  3. Step 3: Cross multiply
    9,409.25x = 14,161.14 × 7,081.31
  4. Step 4: Simplify right side
    9,409.25x = 100,279,422.29
  5. Step 5: Solve for x
    x = 100,279,422.29/9,409.25
  6. Step 6: Final answer
    x = 10,657.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.