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Finding the Fourth Proportional to 9,244.65, 13,866.54 and 3,696.49

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Solution

The fourth proportional to 9,244.65, 13,866.54 and 3,696.49 is: 5,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.65 : 13,866.54 = 3,696.49 : x
  2. Step 2: Convert to fraction form
    9,244.65/13,866.54 = 3,696.49/x
  3. Step 3: Cross multiply
    9,244.65x = 13,866.54 × 3,696.49
  4. Step 4: Simplify right side
    9,244.65x = 51,257,526.44
  5. Step 5: Solve for x
    x = 51,257,526.44/9,244.65
  6. Step 6: Final answer
    x = 5,544.56

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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.