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Finding the Fourth Proportional to 9,786.91, 13,505.53 and 5,310.49

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Solution

The fourth proportional to 9,786.91, 13,505.53 and 5,310.49 is: 7,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.91 : 13,505.53 = 5,310.49 : x
  2. Step 2: Convert to fraction form
    9,786.91/13,505.53 = 5,310.49/x
  3. Step 3: Cross multiply
    9,786.91x = 13,505.53 × 5,310.49
  4. Step 4: Simplify right side
    9,786.91x = 71,720,982.01
  5. Step 5: Solve for x
    x = 71,720,982.01/9,786.91
  6. Step 6: Final answer
    x = 7,328.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.