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Finding the Fourth Proportional to 8,927, 12,321.96 and 6,576

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Solution

The fourth proportional to 8,927, 12,321.96 and 6,576 is: 9,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927 : 12,321.96 = 6,576 : x
  2. Step 2: Convert to fraction form
    8,927/12,321.96 = 6,576/x
  3. Step 3: Cross multiply
    8,927x = 12,321.96 × 6,576
  4. Step 4: Simplify right side
    8,927x = 81,029,208.96
  5. Step 5: Solve for x
    x = 81,029,208.96/8,927
  6. Step 6: Final answer
    x = 9,076.87

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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.