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Finding the Fourth Proportional to 7,012.24, 9,676.13 and 3,868.43

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Solution

The fourth proportional to 7,012.24, 9,676.13 and 3,868.43 is: 5,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.24 : 9,676.13 = 3,868.43 : x
  2. Step 2: Convert to fraction form
    7,012.24/9,676.13 = 3,868.43/x
  3. Step 3: Cross multiply
    7,012.24x = 9,676.13 × 3,868.43
  4. Step 4: Simplify right side
    7,012.24x = 37,431,363.85
  5. Step 5: Solve for x
    x = 37,431,363.85/7,012.24
  6. Step 6: Final answer
    x = 5,338.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.