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Finding the Fourth Proportional to 9,301.14, 13,926.87 and 7,824.92

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Solution

The fourth proportional to 9,301.14, 13,926.87 and 7,824.92 is: 11,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.14 : 13,926.87 = 7,824.92 : x
  2. Step 2: Convert to fraction form
    9,301.14/13,926.87 = 7,824.92/x
  3. Step 3: Cross multiply
    9,301.14x = 13,926.87 × 7,824.92
  4. Step 4: Simplify right side
    9,301.14x = 108,976,573.97
  5. Step 5: Solve for x
    x = 108,976,573.97/9,301.14
  6. Step 6: Final answer
    x = 11,716.47

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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.