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Finding the Fourth Proportional to 9.43, 14.16 and 5.89

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Solution

The fourth proportional to 9.43, 14.16 and 5.89 is: 8.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.43 : 14.16 = 5.89 : x
  2. Step 2: Convert to fraction form
    9.43/14.16 = 5.89/x
  3. Step 3: Cross multiply
    9.43x = 14.16 × 5.89
  4. Step 4: Simplify right side
    9.43x = 83.40
  5. Step 5: Solve for x
    x = 83.40/9.43
  6. Step 6: Final answer
    x = 8.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.