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Finding the Fourth Proportional to 6,951.42, 10,425.06 and 3,832.90

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Solution

The fourth proportional to 6,951.42, 10,425.06 and 3,832.90 is: 5,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.42 : 10,425.06 = 3,832.90 : x
  2. Step 2: Convert to fraction form
    6,951.42/10,425.06 = 3,832.90/x
  3. Step 3: Cross multiply
    6,951.42x = 10,425.06 × 3,832.90
  4. Step 4: Simplify right side
    6,951.42x = 39,958,186.41
  5. Step 5: Solve for x
    x = 39,958,186.41/6,951.42
  6. Step 6: Final answer
    x = 5,748.20

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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.