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Finding the Fourth Proportional to 9.40, 14.01 and 8.36

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Solution

The fourth proportional to 9.40, 14.01 and 8.36 is: 12.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.40 : 14.01 = 8.36 : x
  2. Step 2: Convert to fraction form
    9.40/14.01 = 8.36/x
  3. Step 3: Cross multiply
    9.40x = 14.01 × 8.36
  4. Step 4: Simplify right side
    9.40x = 117.12
  5. Step 5: Solve for x
    x = 117.12/9.40
  6. Step 6: Final answer
    x = 12.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.