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Finding the Fourth Proportional to 6,785.21, 9,361.50 and 3,800.63

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Solution

The fourth proportional to 6,785.21, 9,361.50 and 3,800.63 is: 5,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.21 : 9,361.50 = 3,800.63 : x
  2. Step 2: Convert to fraction form
    6,785.21/9,361.50 = 3,800.63/x
  3. Step 3: Cross multiply
    6,785.21x = 9,361.50 × 3,800.63
  4. Step 4: Simplify right side
    6,785.21x = 35,579,597.75
  5. Step 5: Solve for x
    x = 35,579,597.75/6,785.21
  6. Step 6: Final answer
    x = 5,243.70

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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.