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Finding the Fourth Proportional to 9,244.80, 13,872.24 and 3,400.56

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Solution

The fourth proportional to 9,244.80, 13,872.24 and 3,400.56 is: 5,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.80 : 13,872.24 = 3,400.56 : x
  2. Step 2: Convert to fraction form
    9,244.80/13,872.24 = 3,400.56/x
  3. Step 3: Cross multiply
    9,244.80x = 13,872.24 × 3,400.56
  4. Step 4: Simplify right side
    9,244.80x = 47,173,384.45
  5. Step 5: Solve for x
    x = 47,173,384.45/9,244.80
  6. Step 6: Final answer
    x = 5,102.69

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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.