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Finding the Fourth Proportional to 6,271.70, 9,406.35 and 3,150.86

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Solution

The fourth proportional to 6,271.70, 9,406.35 and 3,150.86 is: 4,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.70 : 9,406.35 = 3,150.86 : x
  2. Step 2: Convert to fraction form
    6,271.70/9,406.35 = 3,150.86/x
  3. Step 3: Cross multiply
    6,271.70x = 9,406.35 × 3,150.86
  4. Step 4: Simplify right side
    6,271.70x = 29,638,091.96
  5. Step 5: Solve for x
    x = 29,638,091.96/6,271.70
  6. Step 6: Final answer
    x = 4,725.69

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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.