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Finding the Fourth Proportional to 6,396.90, 9,588.75 and 3,469.02

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Solution

The fourth proportional to 6,396.90, 9,588.75 and 3,469.02 is: 5,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.90 : 9,588.75 = 3,469.02 : x
  2. Step 2: Convert to fraction form
    6,396.90/9,588.75 = 3,469.02/x
  3. Step 3: Cross multiply
    6,396.90x = 9,588.75 × 3,469.02
  4. Step 4: Simplify right side
    6,396.90x = 33,263,565.53
  5. Step 5: Solve for x
    x = 33,263,565.53/6,396.90
  6. Step 6: Final answer
    x = 5,199.95

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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.