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Finding the Fourth Proportional to 9,462.97, 12,964.33 and 9,108.26

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Solution

The fourth proportional to 9,462.97, 12,964.33 and 9,108.26 is: 12,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.97 : 12,964.33 = 9,108.26 : x
  2. Step 2: Convert to fraction form
    9,462.97/12,964.33 = 9,108.26/x
  3. Step 3: Cross multiply
    9,462.97x = 12,964.33 × 9,108.26
  4. Step 4: Simplify right side
    9,462.97x = 118,082,488.37
  5. Step 5: Solve for x
    x = 118,082,488.37/9,462.97
  6. Step 6: Final answer
    x = 12,478.38

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Why These Related Problems?

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