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Finding the Fourth Proportional to 6,226.17, 9,333.63 and 2,274.64

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Solution

The fourth proportional to 6,226.17, 9,333.63 and 2,274.64 is: 3,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.17 : 9,333.63 = 2,274.64 : x
  2. Step 2: Convert to fraction form
    6,226.17/9,333.63 = 2,274.64/x
  3. Step 3: Cross multiply
    6,226.17x = 9,333.63 × 2,274.64
  4. Step 4: Simplify right side
    6,226.17x = 21,230,677.31
  5. Step 5: Solve for x
    x = 21,230,677.31/6,226.17
  6. Step 6: Final answer
    x = 3,409.91

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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.