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Finding the Fourth Proportional to 6,725.35, 9,280.26 and 3,740.70

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Solution

The fourth proportional to 6,725.35, 9,280.26 and 3,740.70 is: 5,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.35 : 9,280.26 = 3,740.70 : x
  2. Step 2: Convert to fraction form
    6,725.35/9,280.26 = 3,740.70/x
  3. Step 3: Cross multiply
    6,725.35x = 9,280.26 × 3,740.70
  4. Step 4: Simplify right side
    6,725.35x = 34,714,668.58
  5. Step 5: Solve for x
    x = 34,714,668.58/6,725.35
  6. Step 6: Final answer
    x = 5,161.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.