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Finding the Fourth Proportional to 7,012.26, 9,676.44 and 3,868.50

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Solution

The fourth proportional to 7,012.26, 9,676.44 and 3,868.50 is: 5,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.26 : 9,676.44 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    7,012.26/9,676.44 = 3,868.50/x
  3. Step 3: Cross multiply
    7,012.26x = 9,676.44 × 3,868.50
  4. Step 4: Simplify right side
    7,012.26x = 37,433,308.14
  5. Step 5: Solve for x
    x = 37,433,308.14/7,012.26
  6. Step 6: Final answer
    x = 5,338.27

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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.