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Finding the Fourth Proportional to 9,474.57, 13,072.69 and 5,697.13

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Solution

The fourth proportional to 9,474.57, 13,072.69 and 5,697.13 is: 7,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.57 : 13,072.69 = 5,697.13 : x
  2. Step 2: Convert to fraction form
    9,474.57/13,072.69 = 5,697.13/x
  3. Step 3: Cross multiply
    9,474.57x = 13,072.69 × 5,697.13
  4. Step 4: Simplify right side
    9,474.57x = 74,476,814.38
  5. Step 5: Solve for x
    x = 74,476,814.38/9,474.57
  6. Step 6: Final answer
    x = 7,860.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.