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Finding the Fourth Proportional to 9,512.74, 14,261.58 and 4,828.44

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Solution

The fourth proportional to 9,512.74, 14,261.58 and 4,828.44 is: 7,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.74 : 14,261.58 = 4,828.44 : x
  2. Step 2: Convert to fraction form
    9,512.74/14,261.58 = 4,828.44/x
  3. Step 3: Cross multiply
    9,512.74x = 14,261.58 × 4,828.44
  4. Step 4: Simplify right side
    9,512.74x = 68,861,183.34
  5. Step 5: Solve for x
    x = 68,861,183.34/9,512.74
  6. Step 6: Final answer
    x = 7,238.84

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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.