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Finding the Fourth Proportional to 9,961.08, 13,744.38 and 5,980.74

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Solution

The fourth proportional to 9,961.08, 13,744.38 and 5,980.74 is: 8,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.08 : 13,744.38 = 5,980.74 : x
  2. Step 2: Convert to fraction form
    9,961.08/13,744.38 = 5,980.74/x
  3. Step 3: Cross multiply
    9,961.08x = 13,744.38 × 5,980.74
  4. Step 4: Simplify right side
    9,961.08x = 82,201,563.24
  5. Step 5: Solve for x
    x = 82,201,563.24/9,961.08
  6. Step 6: Final answer
    x = 8,252.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.