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Finding the Fourth Proportional to 5,984.44, 8,962.74 and 5,776.80

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Solution

The fourth proportional to 5,984.44, 8,962.74 and 5,776.80 is: 8,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.44 : 8,962.74 = 5,776.80 : x
  2. Step 2: Convert to fraction form
    5,984.44/8,962.74 = 5,776.80/x
  3. Step 3: Cross multiply
    5,984.44x = 8,962.74 × 5,776.80
  4. Step 4: Simplify right side
    5,984.44x = 51,775,956.43
  5. Step 5: Solve for x
    x = 51,775,956.43/5,984.44
  6. Step 6: Final answer
    x = 8,651.76

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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.