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Finding the Fourth Proportional to 6,395.78, 9,596.01 and 2,698.94

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Solution

The fourth proportional to 6,395.78, 9,596.01 and 2,698.94 is: 4,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.78 : 9,596.01 = 2,698.94 : x
  2. Step 2: Convert to fraction form
    6,395.78/9,596.01 = 2,698.94/x
  3. Step 3: Cross multiply
    6,395.78x = 9,596.01 × 2,698.94
  4. Step 4: Simplify right side
    6,395.78x = 25,899,055.23
  5. Step 5: Solve for x
    x = 25,899,055.23/6,395.78
  6. Step 6: Final answer
    x = 4,049.40

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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.