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Finding the Fourth Proportional to 9,883, 14,826.66 and 3,727

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Solution

The fourth proportional to 9,883, 14,826.66 and 3,727 is: 5,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883 : 14,826.66 = 3,727 : x
  2. Step 2: Convert to fraction form
    9,883/14,826.66 = 3,727/x
  3. Step 3: Cross multiply
    9,883x = 14,826.66 × 3,727
  4. Step 4: Simplify right side
    9,883x = 55,258,961.82
  5. Step 5: Solve for x
    x = 55,258,961.82/9,883
  6. Step 6: Final answer
    x = 5,591.31

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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.