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Finding the Fourth Proportional to 8,625.69, 12,944.52 and 3,946.26

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Solution

The fourth proportional to 8,625.69, 12,944.52 and 3,946.26 is: 5,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.69 : 12,944.52 = 3,946.26 : x
  2. Step 2: Convert to fraction form
    8,625.69/12,944.52 = 3,946.26/x
  3. Step 3: Cross multiply
    8,625.69x = 12,944.52 × 3,946.26
  4. Step 4: Simplify right side
    8,625.69x = 51,082,441.50
  5. Step 5: Solve for x
    x = 51,082,441.50/8,625.69
  6. Step 6: Final answer
    x = 5,922.13

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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.