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Finding the Fourth Proportional to 9,716.37, 13,407.61 and 5,467.32

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Solution

The fourth proportional to 9,716.37, 13,407.61 and 5,467.32 is: 7,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.37 : 13,407.61 = 5,467.32 : x
  2. Step 2: Convert to fraction form
    9,716.37/13,407.61 = 5,467.32/x
  3. Step 3: Cross multiply
    9,716.37x = 13,407.61 × 5,467.32
  4. Step 4: Simplify right side
    9,716.37x = 73,303,751.66
  5. Step 5: Solve for x
    x = 73,303,751.66/9,716.37
  6. Step 6: Final answer
    x = 7,544.36

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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.