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Finding the Fourth Proportional to 9,184.26, 12,674.26 and 5,458.26

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Solution

The fourth proportional to 9,184.26, 12,674.26 and 5,458.26 is: 7,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.26 : 12,674.26 = 5,458.26 : x
  2. Step 2: Convert to fraction form
    9,184.26/12,674.26 = 5,458.26/x
  3. Step 3: Cross multiply
    9,184.26x = 12,674.26 × 5,458.26
  4. Step 4: Simplify right side
    9,184.26x = 69,179,406.39
  5. Step 5: Solve for x
    x = 69,179,406.39/9,184.26
  6. Step 6: Final answer
    x = 7,532.39

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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.