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Finding the Fourth Proportional to 6,274.73, 9,411.58 and 2,114.64

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Solution

The fourth proportional to 6,274.73, 9,411.58 and 2,114.64 is: 3,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.73 : 9,411.58 = 2,114.64 : x
  2. Step 2: Convert to fraction form
    6,274.73/9,411.58 = 2,114.64/x
  3. Step 3: Cross multiply
    6,274.73x = 9,411.58 × 2,114.64
  4. Step 4: Simplify right side
    6,274.73x = 19,902,133.54
  5. Step 5: Solve for x
    x = 19,902,133.54/6,274.73
  6. Step 6: Final answer
    x = 3,171.79

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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.