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Finding the Fourth Proportional to 6,301.34, 8,694.78 and 3,648.29

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Solution

The fourth proportional to 6,301.34, 8,694.78 and 3,648.29 is: 5,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.34 : 8,694.78 = 3,648.29 : x
  2. Step 2: Convert to fraction form
    6,301.34/8,694.78 = 3,648.29/x
  3. Step 3: Cross multiply
    6,301.34x = 8,694.78 × 3,648.29
  4. Step 4: Simplify right side
    6,301.34x = 31,721,078.93
  5. Step 5: Solve for x
    x = 31,721,078.93/6,301.34
  6. Step 6: Final answer
    x = 5,034.02

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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.