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Finding the Fourth Proportional to 6,274.08, 9,410.68 and 2,114.44

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Solution

The fourth proportional to 6,274.08, 9,410.68 and 2,114.44 is: 3,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.08 : 9,410.68 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    6,274.08/9,410.68 = 2,114.44/x
  3. Step 3: Cross multiply
    6,274.08x = 9,410.68 × 2,114.44
  4. Step 4: Simplify right side
    6,274.08x = 19,898,318.22
  5. Step 5: Solve for x
    x = 19,898,318.22/6,274.08
  6. Step 6: Final answer
    x = 3,171.51

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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.