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Finding the Fourth Proportional to 9,082.64, 13,627.80 and 3,890.96

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Solution

The fourth proportional to 9,082.64, 13,627.80 and 3,890.96 is: 5,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.64 : 13,627.80 = 3,890.96 : x
  2. Step 2: Convert to fraction form
    9,082.64/13,627.80 = 3,890.96/x
  3. Step 3: Cross multiply
    9,082.64x = 13,627.80 × 3,890.96
  4. Step 4: Simplify right side
    9,082.64x = 53,025,224.69
  5. Step 5: Solve for x
    x = 53,025,224.69/9,082.64
  6. Step 6: Final answer
    x = 5,838.09

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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.