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Finding the Fourth Proportional to 9.65, 13.19 and 9.65

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Solution

The fourth proportional to 9.65, 13.19 and 9.65 is: 13.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.65 : 13.19 = 9.65 : x
  2. Step 2: Convert to fraction form
    9.65/13.19 = 9.65/x
  3. Step 3: Cross multiply
    9.65x = 13.19 × 9.65
  4. Step 4: Simplify right side
    9.65x = 127.17
  5. Step 5: Solve for x
    x = 127.17/9.65
  6. Step 6: Final answer
    x = 13.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.