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Finding the Fourth Proportional to 9,950.74, 14,912.66 and 3,791.38

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Solution

The fourth proportional to 9,950.74, 14,912.66 and 3,791.38 is: 5,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.74 : 14,912.66 = 3,791.38 : x
  2. Step 2: Convert to fraction form
    9,950.74/14,912.66 = 3,791.38/x
  3. Step 3: Cross multiply
    9,950.74x = 14,912.66 × 3,791.38
  4. Step 4: Simplify right side
    9,950.74x = 56,539,560.87
  5. Step 5: Solve for x
    x = 56,539,560.87/9,950.74
  6. Step 6: Final answer
    x = 5,681.95

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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.