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Finding the Fourth Proportional to 6,333.95, 8,738.05 and 3,814.57

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Solution

The fourth proportional to 6,333.95, 8,738.05 and 3,814.57 is: 5,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.95 : 8,738.05 = 3,814.57 : x
  2. Step 2: Convert to fraction form
    6,333.95/8,738.05 = 3,814.57/x
  3. Step 3: Cross multiply
    6,333.95x = 8,738.05 × 3,814.57
  4. Step 4: Simplify right side
    6,333.95x = 33,331,898.08
  5. Step 5: Solve for x
    x = 33,331,898.08/6,333.95
  6. Step 6: Final answer
    x = 5,262.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.