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Finding the Fourth Proportional to 6,408.14, 9,612.24 and 1,791.14

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Solution

The fourth proportional to 6,408.14, 9,612.24 and 1,791.14 is: 2,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.14 : 9,612.24 = 1,791.14 : x
  2. Step 2: Convert to fraction form
    6,408.14/9,612.24 = 1,791.14/x
  3. Step 3: Cross multiply
    6,408.14x = 9,612.24 × 1,791.14
  4. Step 4: Simplify right side
    6,408.14x = 17,216,867.55
  5. Step 5: Solve for x
    x = 17,216,867.55/6,408.14
  6. Step 6: Final answer
    x = 2,686.72

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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.