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Finding the Fourth Proportional to 6,427.89, 9,635.09 and 3,136.46

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Solution

The fourth proportional to 6,427.89, 9,635.09 and 3,136.46 is: 4,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.89 : 9,635.09 = 3,136.46 : x
  2. Step 2: Convert to fraction form
    6,427.89/9,635.09 = 3,136.46/x
  3. Step 3: Cross multiply
    6,427.89x = 9,635.09 × 3,136.46
  4. Step 4: Simplify right side
    6,427.89x = 30,220,010.52
  5. Step 5: Solve for x
    x = 30,220,010.52/6,427.89
  6. Step 6: Final answer
    x = 4,701.39

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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.