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Finding the Fourth Proportional to 6,851.34, 9,454.89 and 3,785.28

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Solution

The fourth proportional to 6,851.34, 9,454.89 and 3,785.28 is: 5,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.34 : 9,454.89 = 3,785.28 : x
  2. Step 2: Convert to fraction form
    6,851.34/9,454.89 = 3,785.28/x
  3. Step 3: Cross multiply
    6,851.34x = 9,454.89 × 3,785.28
  4. Step 4: Simplify right side
    6,851.34x = 35,789,406.02
  5. Step 5: Solve for x
    x = 35,789,406.02/6,851.34
  6. Step 6: Final answer
    x = 5,223.71

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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.