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Finding the Fourth Proportional to 9.36, 12.91 and 6.13

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Solution

The fourth proportional to 9.36, 12.91 and 6.13 is: 8.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.36 : 12.91 = 6.13 : x
  2. Step 2: Convert to fraction form
    9.36/12.91 = 6.13/x
  3. Step 3: Cross multiply
    9.36x = 12.91 × 6.13
  4. Step 4: Simplify right side
    9.36x = 79.14
  5. Step 5: Solve for x
    x = 79.14/9.36
  6. Step 6: Final answer
    x = 8.45

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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.