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Finding the Fourth Proportional to 6,427.06, 9,642.08 and 2,729.41

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Solution

The fourth proportional to 6,427.06, 9,642.08 and 2,729.41 is: 4,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.06 : 9,642.08 = 2,729.41 : x
  2. Step 2: Convert to fraction form
    6,427.06/9,642.08 = 2,729.41/x
  3. Step 3: Cross multiply
    6,427.06x = 9,642.08 × 2,729.41
  4. Step 4: Simplify right side
    6,427.06x = 26,317,175.93
  5. Step 5: Solve for x
    x = 26,317,175.93/6,427.06
  6. Step 6: Final answer
    x = 4,094.75

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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.