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Finding the Fourth Proportional to 6,647.48, 9,971.21 and 3,136.33

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Solution

The fourth proportional to 6,647.48, 9,971.21 and 3,136.33 is: 4,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.48 : 9,971.21 = 3,136.33 : x
  2. Step 2: Convert to fraction form
    6,647.48/9,971.21 = 3,136.33/x
  3. Step 3: Cross multiply
    6,647.48x = 9,971.21 × 3,136.33
  4. Step 4: Simplify right side
    6,647.48x = 31,272,987.97
  5. Step 5: Solve for x
    x = 31,272,987.97/6,647.48
  6. Step 6: Final answer
    x = 4,704.49

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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.