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Finding the Fourth Proportional to 6,884.41, 9,500.56 and 3,740.60

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Solution

The fourth proportional to 6,884.41, 9,500.56 and 3,740.60 is: 5,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.41 : 9,500.56 = 3,740.60 : x
  2. Step 2: Convert to fraction form
    6,884.41/9,500.56 = 3,740.60/x
  3. Step 3: Cross multiply
    6,884.41x = 9,500.56 × 3,740.60
  4. Step 4: Simplify right side
    6,884.41x = 35,537,737.88
  5. Step 5: Solve for x
    x = 35,537,737.88/6,884.41
  6. Step 6: Final answer
    x = 5,162.06

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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.