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Finding the Fourth Proportional to 6,004.09, 8,277.94 and 4,923.38

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Solution

The fourth proportional to 6,004.09, 8,277.94 and 4,923.38 is: 6,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.09 : 8,277.94 = 4,923.38 : x
  2. Step 2: Convert to fraction form
    6,004.09/8,277.94 = 4,923.38/x
  3. Step 3: Cross multiply
    6,004.09x = 8,277.94 × 4,923.38
  4. Step 4: Simplify right side
    6,004.09x = 40,755,467.62
  5. Step 5: Solve for x
    x = 40,755,467.62/6,004.09
  6. Step 6: Final answer
    x = 6,787.95

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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.