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Finding the Fourth Proportional to 9,911.87, 13,682.73 and 6,939.37

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Solution

The fourth proportional to 9,911.87, 13,682.73 and 6,939.37 is: 9,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.87 : 13,682.73 = 6,939.37 : x
  2. Step 2: Convert to fraction form
    9,911.87/13,682.73 = 6,939.37/x
  3. Step 3: Cross multiply
    9,911.87x = 13,682.73 × 6,939.37
  4. Step 4: Simplify right side
    9,911.87x = 94,949,526.08
  5. Step 5: Solve for x
    x = 94,949,526.08/9,911.87
  6. Step 6: Final answer
    x = 9,579.38

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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.