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Finding the Fourth Proportional to 7,012.18, 9,676.86 and 3,868.48

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Solution

The fourth proportional to 7,012.18, 9,676.86 and 3,868.48 is: 5,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.18 : 9,676.86 = 3,868.48 : x
  2. Step 2: Convert to fraction form
    7,012.18/9,676.86 = 3,868.48/x
  3. Step 3: Cross multiply
    7,012.18x = 9,676.86 × 3,868.48
  4. Step 4: Simplify right side
    7,012.18x = 37,434,739.37
  5. Step 5: Solve for x
    x = 37,434,739.37/7,012.18
  6. Step 6: Final answer
    x = 5,338.53

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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.