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Finding the Fourth Proportional to 9,786.36, 13,505.07 and 5,310.21

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Solution

The fourth proportional to 9,786.36, 13,505.07 and 5,310.21 is: 7,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.36 : 13,505.07 = 5,310.21 : x
  2. Step 2: Convert to fraction form
    9,786.36/13,505.07 = 5,310.21/x
  3. Step 3: Cross multiply
    9,786.36x = 13,505.07 × 5,310.21
  4. Step 4: Simplify right side
    9,786.36x = 71,714,757.76
  5. Step 5: Solve for x
    x = 71,714,757.76/9,786.36
  6. Step 6: Final answer
    x = 7,328.03

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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.