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Finding the Fourth Proportional to 9,642, 13,306.77 and 6,107.97

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Solution

The fourth proportional to 9,642, 13,306.77 and 6,107.97 is: 8,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642 : 13,306.77 = 6,107.97 : x
  2. Step 2: Convert to fraction form
    9,642/13,306.77 = 6,107.97/x
  3. Step 3: Cross multiply
    9,642x = 13,306.77 × 6,107.97
  4. Step 4: Simplify right side
    9,642x = 81,277,351.96
  5. Step 5: Solve for x
    x = 81,277,351.96/9,642
  6. Step 6: Final answer
    x = 8,429.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.