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Finding the Fourth Proportional to 6,396.09, 9,594.20 and 2,013.58

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Solution

The fourth proportional to 6,396.09, 9,594.20 and 2,013.58 is: 3,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.09 : 9,594.20 = 2,013.58 : x
  2. Step 2: Convert to fraction form
    6,396.09/9,594.20 = 2,013.58/x
  3. Step 3: Cross multiply
    6,396.09x = 9,594.20 × 2,013.58
  4. Step 4: Simplify right side
    6,396.09x = 19,318,689.24
  5. Step 5: Solve for x
    x = 19,318,689.24/6,396.09
  6. Step 6: Final answer
    x = 3,020.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.