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Finding the Fourth Proportional to 9,857.75, 13,604.25 and 5,666.27

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Solution

The fourth proportional to 9,857.75, 13,604.25 and 5,666.27 is: 7,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.75 : 13,604.25 = 5,666.27 : x
  2. Step 2: Convert to fraction form
    9,857.75/13,604.25 = 5,666.27/x
  3. Step 3: Cross multiply
    9,857.75x = 13,604.25 × 5,666.27
  4. Step 4: Simplify right side
    9,857.75x = 77,085,353.65
  5. Step 5: Solve for x
    x = 77,085,353.65/9,857.75
  6. Step 6: Final answer
    x = 7,819.77

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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.