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Finding the Fourth Proportional to 6,333.50, 9,503.49 and 2,824.58

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Solution

The fourth proportional to 6,333.50, 9,503.49 and 2,824.58 is: 4,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.50 : 9,503.49 = 2,824.58 : x
  2. Step 2: Convert to fraction form
    6,333.50/9,503.49 = 2,824.58/x
  3. Step 3: Cross multiply
    6,333.50x = 9,503.49 × 2,824.58
  4. Step 4: Simplify right side
    6,333.50x = 26,843,367.78
  5. Step 5: Solve for x
    x = 26,843,367.78/6,333.50
  6. Step 6: Final answer
    x = 4,238.31

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