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Finding the Fourth Proportional to 9,950.41, 13,731.57 and 5,474.14

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Solution

The fourth proportional to 9,950.41, 13,731.57 and 5,474.14 is: 7,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.41 : 13,731.57 = 5,474.14 : x
  2. Step 2: Convert to fraction form
    9,950.41/13,731.57 = 5,474.14/x
  3. Step 3: Cross multiply
    9,950.41x = 13,731.57 × 5,474.14
  4. Step 4: Simplify right side
    9,950.41x = 75,168,536.60
  5. Step 5: Solve for x
    x = 75,168,536.60/9,950.41
  6. Step 6: Final answer
    x = 7,554.32

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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.