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Finding the Fourth Proportional to 6,383.63, 9,568.59 and 3,089.46

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Solution

The fourth proportional to 6,383.63, 9,568.59 and 3,089.46 is: 4,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.63 : 9,568.59 = 3,089.46 : x
  2. Step 2: Convert to fraction form
    6,383.63/9,568.59 = 3,089.46/x
  3. Step 3: Cross multiply
    6,383.63x = 9,568.59 × 3,089.46
  4. Step 4: Simplify right side
    6,383.63x = 29,561,776.06
  5. Step 5: Solve for x
    x = 29,561,776.06/6,383.63
  6. Step 6: Final answer
    x = 4,630.88

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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.