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Finding the Fourth Proportional to 6,725.07, 9,278.87 and 3,740.22

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Solution

The fourth proportional to 6,725.07, 9,278.87 and 3,740.22 is: 5,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.07 : 9,278.87 = 3,740.22 : x
  2. Step 2: Convert to fraction form
    6,725.07/9,278.87 = 3,740.22/x
  3. Step 3: Cross multiply
    6,725.07x = 9,278.87 × 3,740.22
  4. Step 4: Simplify right side
    6,725.07x = 34,705,024.50
  5. Step 5: Solve for x
    x = 34,705,024.50/6,725.07
  6. Step 6: Final answer
    x = 5,160.54

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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.