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Finding the Fourth Proportional to 9,244, 13,857.54 and 3,396.16

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Solution

The fourth proportional to 9,244, 13,857.54 and 3,396.16 is: 5,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244 : 13,857.54 = 3,396.16 : x
  2. Step 2: Convert to fraction form
    9,244/13,857.54 = 3,396.16/x
  3. Step 3: Cross multiply
    9,244x = 13,857.54 × 3,396.16
  4. Step 4: Simplify right side
    9,244x = 47,062,423.05
  5. Step 5: Solve for x
    x = 47,062,423.05/9,244
  6. Step 6: Final answer
    x = 5,091.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.