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Finding the Fourth Proportional to 6,397.10, 9,596.94 and 2,699.34

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Solution

The fourth proportional to 6,397.10, 9,596.94 and 2,699.34 is: 4,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.10 : 9,596.94 = 2,699.34 : x
  2. Step 2: Convert to fraction form
    6,397.10/9,596.94 = 2,699.34/x
  3. Step 3: Cross multiply
    6,397.10x = 9,596.94 × 2,699.34
  4. Step 4: Simplify right side
    6,397.10x = 25,905,404.02
  5. Step 5: Solve for x
    x = 25,905,404.02/6,397.10
  6. Step 6: Final answer
    x = 4,049.56

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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.