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Finding the Fourth Proportional to 9,221.36, 13,843.71 and 7,680.23

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Solution

The fourth proportional to 9,221.36, 13,843.71 and 7,680.23 is: 11,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.36 : 13,843.71 = 7,680.23 : x
  2. Step 2: Convert to fraction form
    9,221.36/13,843.71 = 7,680.23/x
  3. Step 3: Cross multiply
    9,221.36x = 13,843.71 × 7,680.23
  4. Step 4: Simplify right side
    9,221.36x = 106,322,807.63
  5. Step 5: Solve for x
    x = 106,322,807.63/9,221.36
  6. Step 6: Final answer
    x = 11,530.05

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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.