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Finding the Fourth Proportional to 6,106.96, 8,427.27 and 3,453.88

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Solution

The fourth proportional to 6,106.96, 8,427.27 and 3,453.88 is: 4,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.96 : 8,427.27 = 3,453.88 : x
  2. Step 2: Convert to fraction form
    6,106.96/8,427.27 = 3,453.88/x
  3. Step 3: Cross multiply
    6,106.96x = 8,427.27 × 3,453.88
  4. Step 4: Simplify right side
    6,106.96x = 29,106,779.31
  5. Step 5: Solve for x
    x = 29,106,779.31/6,106.96
  6. Step 6: Final answer
    x = 4,766.17

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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.