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Finding the Fourth Proportional to 9,093.62, 13,640.43 and 7,857.29

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Solution

The fourth proportional to 9,093.62, 13,640.43 and 7,857.29 is: 11,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.62 : 13,640.43 = 7,857.29 : x
  2. Step 2: Convert to fraction form
    9,093.62/13,640.43 = 7,857.29/x
  3. Step 3: Cross multiply
    9,093.62x = 13,640.43 × 7,857.29
  4. Step 4: Simplify right side
    9,093.62x = 107,176,814.23
  5. Step 5: Solve for x
    x = 107,176,814.23/9,093.62
  6. Step 6: Final answer
    x = 11,785.94

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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.