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Finding the Fourth Proportional to 9,107.56, 12,576 and 6,133.24

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Solution

The fourth proportional to 9,107.56, 12,576 and 6,133.24 is: 8,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.56 : 12,576 = 6,133.24 : x
  2. Step 2: Convert to fraction form
    9,107.56/12,576 = 6,133.24/x
  3. Step 3: Cross multiply
    9,107.56x = 12,576 × 6,133.24
  4. Step 4: Simplify right side
    9,107.56x = 77,131,626.24
  5. Step 5: Solve for x
    x = 77,131,626.24/9,107.56
  6. Step 6: Final answer
    x = 8,468.97

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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.