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Finding the Fourth Proportional to 9,056.44, 13,576.02 and 3,209.86

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Solution

The fourth proportional to 9,056.44, 13,576.02 and 3,209.86 is: 4,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.44 : 13,576.02 = 3,209.86 : x
  2. Step 2: Convert to fraction form
    9,056.44/13,576.02 = 3,209.86/x
  3. Step 3: Cross multiply
    9,056.44x = 13,576.02 × 3,209.86
  4. Step 4: Simplify right side
    9,056.44x = 43,577,123.56
  5. Step 5: Solve for x
    x = 43,577,123.56/9,056.44
  6. Step 6: Final answer
    x = 4,811.73

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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.