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Finding the Fourth Proportional to 9,950.33, 13,728.04 and 6,172.13

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Solution

The fourth proportional to 9,950.33, 13,728.04 and 6,172.13 is: 8,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.33 : 13,728.04 = 6,172.13 : x
  2. Step 2: Convert to fraction form
    9,950.33/13,728.04 = 6,172.13/x
  3. Step 3: Cross multiply
    9,950.33x = 13,728.04 × 6,172.13
  4. Step 4: Simplify right side
    9,950.33x = 84,731,266.41
  5. Step 5: Solve for x
    x = 84,731,266.41/9,950.33
  6. Step 6: Final answer
    x = 8,515.42

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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.