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Finding the Fourth Proportional to 9.70, 14.47 and 9.38

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Solution

The fourth proportional to 9.70, 14.47 and 9.38 is: 13.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 14.47 = 9.38 : x
  2. Step 2: Convert to fraction form
    9.70/14.47 = 9.38/x
  3. Step 3: Cross multiply
    9.70x = 14.47 × 9.38
  4. Step 4: Simplify right side
    9.70x = 135.73
  5. Step 5: Solve for x
    x = 135.73/9.70
  6. Step 6: Final answer
    x = 13.99

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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.