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Finding the Fourth Proportional to 7,012.06, 9,676.64 and 3,868.25

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Solution

The fourth proportional to 7,012.06, 9,676.64 and 3,868.25 is: 5,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.06 : 9,676.64 = 3,868.25 : x
  2. Step 2: Convert to fraction form
    7,012.06/9,676.64 = 3,868.25/x
  3. Step 3: Cross multiply
    7,012.06x = 9,676.64 × 3,868.25
  4. Step 4: Simplify right side
    7,012.06x = 37,431,594.96
  5. Step 5: Solve for x
    x = 37,431,594.96/7,012.06
  6. Step 6: Final answer
    x = 5,338.18

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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.