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Finding the Fourth Proportional to 6,141.37, 9,205.71 and 2,851.78

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Solution

The fourth proportional to 6,141.37, 9,205.71 and 2,851.78 is: 4,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.37 : 9,205.71 = 2,851.78 : x
  2. Step 2: Convert to fraction form
    6,141.37/9,205.71 = 2,851.78/x
  3. Step 3: Cross multiply
    6,141.37x = 9,205.71 × 2,851.78
  4. Step 4: Simplify right side
    6,141.37x = 26,252,659.66
  5. Step 5: Solve for x
    x = 26,252,659.66/6,141.37
  6. Step 6: Final answer
    x = 4,274.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.