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Finding the Fourth Proportional to 9,660.36, 13,333.38 and 5,884.77

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Solution

The fourth proportional to 9,660.36, 13,333.38 and 5,884.77 is: 8,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.36 : 13,333.38 = 5,884.77 : x
  2. Step 2: Convert to fraction form
    9,660.36/13,333.38 = 5,884.77/x
  3. Step 3: Cross multiply
    9,660.36x = 13,333.38 × 5,884.77
  4. Step 4: Simplify right side
    9,660.36x = 78,463,874.62
  5. Step 5: Solve for x
    x = 78,463,874.62/9,660.36
  6. Step 6: Final answer
    x = 8,122.25

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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.