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Finding the Fourth Proportional to 9,982.66, 13,776.04 and 5,734

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Solution

The fourth proportional to 9,982.66, 13,776.04 and 5,734 is: 7,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.66 : 13,776.04 = 5,734 : x
  2. Step 2: Convert to fraction form
    9,982.66/13,776.04 = 5,734/x
  3. Step 3: Cross multiply
    9,982.66x = 13,776.04 × 5,734
  4. Step 4: Simplify right side
    9,982.66x = 78,991,813.36
  5. Step 5: Solve for x
    x = 78,991,813.36/9,982.66
  6. Step 6: Final answer
    x = 7,912.90

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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.