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Finding the Fourth Proportional to 6,851.89, 9,455.59 and 3,826.85

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Solution

The fourth proportional to 6,851.89, 9,455.59 and 3,826.85 is: 5,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.89 : 9,455.59 = 3,826.85 : x
  2. Step 2: Convert to fraction form
    6,851.89/9,455.59 = 3,826.85/x
  3. Step 3: Cross multiply
    6,851.89x = 9,455.59 × 3,826.85
  4. Step 4: Simplify right side
    6,851.89x = 36,185,060.57
  5. Step 5: Solve for x
    x = 36,185,060.57/6,851.89
  6. Step 6: Final answer
    x = 5,281.03

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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.