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Finding the Fourth Proportional to 7,162.07, 9,883.73 and 4,136.97

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Solution

The fourth proportional to 7,162.07, 9,883.73 and 4,136.97 is: 5,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.07 : 9,883.73 = 4,136.97 : x
  2. Step 2: Convert to fraction form
    7,162.07/9,883.73 = 4,136.97/x
  3. Step 3: Cross multiply
    7,162.07x = 9,883.73 × 4,136.97
  4. Step 4: Simplify right side
    7,162.07x = 40,888,673.81
  5. Step 5: Solve for x
    x = 40,888,673.81/7,162.07
  6. Step 6: Final answer
    x = 5,709.06

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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.