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Finding the Fourth Proportional to 9,906.60, 13,671.26 and 5,927.88

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Solution

The fourth proportional to 9,906.60, 13,671.26 and 5,927.88 is: 8,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.60 : 13,671.26 = 5,927.88 : x
  2. Step 2: Convert to fraction form
    9,906.60/13,671.26 = 5,927.88/x
  3. Step 3: Cross multiply
    9,906.60x = 13,671.26 × 5,927.88
  4. Step 4: Simplify right side
    9,906.60x = 81,041,588.73
  5. Step 5: Solve for x
    x = 81,041,588.73/9,906.60
  6. Step 6: Final answer
    x = 8,180.57

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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.