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Finding the Fourth Proportional to 9,872.44, 13,623.14 and 5,622.36

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Solution

The fourth proportional to 9,872.44, 13,623.14 and 5,622.36 is: 7,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.44 : 13,623.14 = 5,622.36 : x
  2. Step 2: Convert to fraction form
    9,872.44/13,623.14 = 5,622.36/x
  3. Step 3: Cross multiply
    9,872.44x = 13,623.14 × 5,622.36
  4. Step 4: Simplify right side
    9,872.44x = 76,594,197.41
  5. Step 5: Solve for x
    x = 76,594,197.41/9,872.44
  6. Step 6: Final answer
    x = 7,758.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.