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Finding the Fourth Proportional to 7,145.76, 9,839.72 and 5,964.80

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Solution

The fourth proportional to 7,145.76, 9,839.72 and 5,964.80 is: 8,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.76 : 9,839.72 = 5,964.80 : x
  2. Step 2: Convert to fraction form
    7,145.76/9,839.72 = 5,964.80/x
  3. Step 3: Cross multiply
    7,145.76x = 9,839.72 × 5,964.80
  4. Step 4: Simplify right side
    7,145.76x = 58,691,961.86
  5. Step 5: Solve for x
    x = 58,691,961.86/7,145.76
  6. Step 6: Final answer
    x = 8,213.54

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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.