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Finding the Fourth Proportional to 6,271.94, 9,408.42 and 3,150.34

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Solution

The fourth proportional to 6,271.94, 9,408.42 and 3,150.34 is: 4,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.94 : 9,408.42 = 3,150.34 : x
  2. Step 2: Convert to fraction form
    6,271.94/9,408.42 = 3,150.34/x
  3. Step 3: Cross multiply
    6,271.94x = 9,408.42 × 3,150.34
  4. Step 4: Simplify right side
    6,271.94x = 29,639,751.26
  5. Step 5: Solve for x
    x = 29,639,751.26/6,271.94
  6. Step 6: Final answer
    x = 4,725.77

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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.