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Finding the Fourth Proportional to 9,771.20, 14,635.20 and 3,924.80

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Solution

The fourth proportional to 9,771.20, 14,635.20 and 3,924.80 is: 5,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.20 : 14,635.20 = 3,924.80 : x
  2. Step 2: Convert to fraction form
    9,771.20/14,635.20 = 3,924.80/x
  3. Step 3: Cross multiply
    9,771.20x = 14,635.20 × 3,924.80
  4. Step 4: Simplify right side
    9,771.20x = 57,440,232.96
  5. Step 5: Solve for x
    x = 57,440,232.96/9,771.20
  6. Step 6: Final answer
    x = 5,878.52

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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.