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Finding the Fourth Proportional to 6,425.41, 9,638.88 and 2,727.15

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Solution

The fourth proportional to 6,425.41, 9,638.88 and 2,727.15 is: 4,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.41 : 9,638.88 = 2,727.15 : x
  2. Step 2: Convert to fraction form
    6,425.41/9,638.88 = 2,727.15/x
  3. Step 3: Cross multiply
    6,425.41x = 9,638.88 × 2,727.15
  4. Step 4: Simplify right side
    6,425.41x = 26,286,671.59
  5. Step 5: Solve for x
    x = 26,286,671.59/6,425.41
  6. Step 6: Final answer
    x = 4,091.05

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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.