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Finding the Fourth Proportional to 9,208.96, 13,813.62 and 3,661

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Solution

The fourth proportional to 9,208.96, 13,813.62 and 3,661 is: 5,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.96 : 13,813.62 = 3,661 : x
  2. Step 2: Convert to fraction form
    9,208.96/13,813.62 = 3,661/x
  3. Step 3: Cross multiply
    9,208.96x = 13,813.62 × 3,661
  4. Step 4: Simplify right side
    9,208.96x = 50,571,662.82
  5. Step 5: Solve for x
    x = 50,571,662.82/9,208.96
  6. Step 6: Final answer
    x = 5,491.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.