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Finding the Fourth Proportional to 7,012.16, 9,676.84 and 3,868.56

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Solution

The fourth proportional to 7,012.16, 9,676.84 and 3,868.56 is: 5,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.16 : 9,676.84 = 3,868.56 : x
  2. Step 2: Convert to fraction form
    7,012.16/9,676.84 = 3,868.56/x
  3. Step 3: Cross multiply
    7,012.16x = 9,676.84 × 3,868.56
  4. Step 4: Simplify right side
    7,012.16x = 37,435,436.15
  5. Step 5: Solve for x
    x = 37,435,436.15/7,012.16
  6. Step 6: Final answer
    x = 5,338.65

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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.