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Finding the Fourth Proportional to 6,414.63, 9,603.36 and 3,941.96

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Solution

The fourth proportional to 6,414.63, 9,603.36 and 3,941.96 is: 5,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.63 : 9,603.36 = 3,941.96 : x
  2. Step 2: Convert to fraction form
    6,414.63/9,603.36 = 3,941.96/x
  3. Step 3: Cross multiply
    6,414.63x = 9,603.36 × 3,941.96
  4. Step 4: Simplify right side
    6,414.63x = 37,856,012.97
  5. Step 5: Solve for x
    x = 37,856,012.97/6,414.63
  6. Step 6: Final answer
    x = 5,901.51

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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.