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Finding the Fourth Proportional to 9,665.09, 13,344.25 and 7,422.96

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Solution

The fourth proportional to 9,665.09, 13,344.25 and 7,422.96 is: 10,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.09 : 13,344.25 = 7,422.96 : x
  2. Step 2: Convert to fraction form
    9,665.09/13,344.25 = 7,422.96/x
  3. Step 3: Cross multiply
    9,665.09x = 13,344.25 × 7,422.96
  4. Step 4: Simplify right side
    9,665.09x = 99,053,730.14
  5. Step 5: Solve for x
    x = 99,053,730.14/9,665.09
  6. Step 6: Final answer
    x = 10,248.61

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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.