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Finding the Fourth Proportional to 6,106.93, 8,427.42 and 3,454.31

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Solution

The fourth proportional to 6,106.93, 8,427.42 and 3,454.31 is: 4,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.93 : 8,427.42 = 3,454.31 : x
  2. Step 2: Convert to fraction form
    6,106.93/8,427.42 = 3,454.31/x
  3. Step 3: Cross multiply
    6,106.93x = 8,427.42 × 3,454.31
  4. Step 4: Simplify right side
    6,106.93x = 29,110,942.25
  5. Step 5: Solve for x
    x = 29,110,942.25/6,106.93
  6. Step 6: Final answer
    x = 4,766.87

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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.