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Finding the Fourth Proportional to 9.72, 14.64 and 9.30

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Solution

The fourth proportional to 9.72, 14.64 and 9.30 is: 14.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.72 : 14.64 = 9.30 : x
  2. Step 2: Convert to fraction form
    9.72/14.64 = 9.30/x
  3. Step 3: Cross multiply
    9.72x = 14.64 × 9.30
  4. Step 4: Simplify right side
    9.72x = 136.15
  5. Step 5: Solve for x
    x = 136.15/9.72
  6. Step 6: Final answer
    x = 14.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.