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Finding the Fourth Proportional to 6,301.21, 8,694.60 and 3,648.16

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Solution

The fourth proportional to 6,301.21, 8,694.60 and 3,648.16 is: 5,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.21 : 8,694.60 = 3,648.16 : x
  2. Step 2: Convert to fraction form
    6,301.21/8,694.60 = 3,648.16/x
  3. Step 3: Cross multiply
    6,301.21x = 8,694.60 × 3,648.16
  4. Step 4: Simplify right side
    6,301.21x = 31,719,291.94
  5. Step 5: Solve for x
    x = 31,719,291.94/6,301.21
  6. Step 6: Final answer
    x = 5,033.84

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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.