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Finding the Fourth Proportional to 9,244, 12,756.48 and 5,467.36

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Solution

The fourth proportional to 9,244, 12,756.48 and 5,467.36 is: 7,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244 : 12,756.48 = 5,467.36 : x
  2. Step 2: Convert to fraction form
    9,244/12,756.48 = 5,467.36/x
  3. Step 3: Cross multiply
    9,244x = 12,756.48 × 5,467.36
  4. Step 4: Simplify right side
    9,244x = 69,744,268.49
  5. Step 5: Solve for x
    x = 69,744,268.49/9,244
  6. Step 6: Final answer
    x = 7,544.81

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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.