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Finding the Fourth Proportional to 6,336.54, 9,503.37 and 3,047.94

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Solution

The fourth proportional to 6,336.54, 9,503.37 and 3,047.94 is: 4,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.54 : 9,503.37 = 3,047.94 : x
  2. Step 2: Convert to fraction form
    6,336.54/9,503.37 = 3,047.94/x
  3. Step 3: Cross multiply
    6,336.54x = 9,503.37 × 3,047.94
  4. Step 4: Simplify right side
    6,336.54x = 28,965,701.56
  5. Step 5: Solve for x
    x = 28,965,701.56/6,336.54
  6. Step 6: Final answer
    x = 4,571.22

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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.