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Finding the Fourth Proportional to 9,306.54, 13,963.05 and 4,379.94

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Solution

The fourth proportional to 9,306.54, 13,963.05 and 4,379.94 is: 6,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.54 : 13,963.05 = 4,379.94 : x
  2. Step 2: Convert to fraction form
    9,306.54/13,963.05 = 4,379.94/x
  3. Step 3: Cross multiply
    9,306.54x = 13,963.05 × 4,379.94
  4. Step 4: Simplify right side
    9,306.54x = 61,157,321.22
  5. Step 5: Solve for x
    x = 61,157,321.22/9,306.54
  6. Step 6: Final answer
    x = 6,571.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.