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Finding the Fourth Proportional to 9,950.26, 13,731.25 and 5,474.01

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Solution

The fourth proportional to 9,950.26, 13,731.25 and 5,474.01 is: 7,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.26 : 13,731.25 = 5,474.01 : x
  2. Step 2: Convert to fraction form
    9,950.26/13,731.25 = 5,474.01/x
  3. Step 3: Cross multiply
    9,950.26x = 13,731.25 × 5,474.01
  4. Step 4: Simplify right side
    9,950.26x = 75,164,999.81
  5. Step 5: Solve for x
    x = 75,164,999.81/9,950.26
  6. Step 6: Final answer
    x = 7,554.07

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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.