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Finding the Fourth Proportional to 6,474.92, 9,706.24 and 4,128.35

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Solution

The fourth proportional to 6,474.92, 9,706.24 and 4,128.35 is: 6,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.92 : 9,706.24 = 4,128.35 : x
  2. Step 2: Convert to fraction form
    6,474.92/9,706.24 = 4,128.35/x
  3. Step 3: Cross multiply
    6,474.92x = 9,706.24 × 4,128.35
  4. Step 4: Simplify right side
    6,474.92x = 40,070,697.05
  5. Step 5: Solve for x
    x = 40,070,697.05/6,474.92
  6. Step 6: Final answer
    x = 6,188.60

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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.