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Finding the Fourth Proportional to 6,851.40, 9,454.69 and 3,826.68

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Solution

The fourth proportional to 6,851.40, 9,454.69 and 3,826.68 is: 5,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.40 : 9,454.69 = 3,826.68 : x
  2. Step 2: Convert to fraction form
    6,851.40/9,454.69 = 3,826.68/x
  3. Step 3: Cross multiply
    6,851.40x = 9,454.69 × 3,826.68
  4. Step 4: Simplify right side
    6,851.40x = 36,180,042.46
  5. Step 5: Solve for x
    x = 36,180,042.46/6,851.40
  6. Step 6: Final answer
    x = 5,280.68

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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.