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Finding the Fourth Proportional to 6,274.42, 9,408.89 and 2,113.31

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Solution

The fourth proportional to 6,274.42, 9,408.89 and 2,113.31 is: 3,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.42 : 9,408.89 = 2,113.31 : x
  2. Step 2: Convert to fraction form
    6,274.42/9,408.89 = 2,113.31/x
  3. Step 3: Cross multiply
    6,274.42x = 9,408.89 × 2,113.31
  4. Step 4: Simplify right side
    6,274.42x = 19,883,843.71
  5. Step 5: Solve for x
    x = 19,883,843.71/6,274.42
  6. Step 6: Final answer
    x = 3,169.04

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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.