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Finding the Fourth Proportional to 9.46, 14.12 and 9.01

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Solution

The fourth proportional to 9.46, 14.12 and 9.01 is: 13.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 14.12 = 9.01 : x
  2. Step 2: Convert to fraction form
    9.46/14.12 = 9.01/x
  3. Step 3: Cross multiply
    9.46x = 14.12 × 9.01
  4. Step 4: Simplify right side
    9.46x = 127.22
  5. Step 5: Solve for x
    x = 127.22/9.46
  6. Step 6: Final answer
    x = 13.45

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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.