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Finding the Fourth Proportional to 9,522.81, 13,141.97 and 5,274.33

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Solution

The fourth proportional to 9,522.81, 13,141.97 and 5,274.33 is: 7,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.81 : 13,141.97 = 5,274.33 : x
  2. Step 2: Convert to fraction form
    9,522.81/13,141.97 = 5,274.33/x
  3. Step 3: Cross multiply
    9,522.81x = 13,141.97 × 5,274.33
  4. Step 4: Simplify right side
    9,522.81x = 69,315,147.23
  5. Step 5: Solve for x
    x = 69,315,147.23/9,522.81
  6. Step 6: Final answer
    x = 7,278.85

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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.