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Finding the Fourth Proportional to 9.45, 14.09 and 9.37

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Solution

The fourth proportional to 9.45, 14.09 and 9.37 is: 13.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.45 : 14.09 = 9.37 : x
  2. Step 2: Convert to fraction form
    9.45/14.09 = 9.37/x
  3. Step 3: Cross multiply
    9.45x = 14.09 × 9.37
  4. Step 4: Simplify right side
    9.45x = 132.02
  5. Step 5: Solve for x
    x = 132.02/9.45
  6. Step 6: Final answer
    x = 13.97

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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.