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Finding the Fourth Proportional to 7,002.94, 9,664.26 and 3,859.33

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Solution

The fourth proportional to 7,002.94, 9,664.26 and 3,859.33 is: 5,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.94 : 9,664.26 = 3,859.33 : x
  2. Step 2: Convert to fraction form
    7,002.94/9,664.26 = 3,859.33/x
  3. Step 3: Cross multiply
    7,002.94x = 9,664.26 × 3,859.33
  4. Step 4: Simplify right side
    7,002.94x = 37,297,568.55
  5. Step 5: Solve for x
    x = 37,297,568.55/7,002.94
  6. Step 6: Final answer
    x = 5,325.99

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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.