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Finding the Fourth Proportional to 9,213.75, 12,715.38 and 5,022

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Solution

The fourth proportional to 9,213.75, 12,715.38 and 5,022 is: 6,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.75 : 12,715.38 = 5,022 : x
  2. Step 2: Convert to fraction form
    9,213.75/12,715.38 = 5,022/x
  3. Step 3: Cross multiply
    9,213.75x = 12,715.38 × 5,022
  4. Step 4: Simplify right side
    9,213.75x = 63,856,638.36
  5. Step 5: Solve for x
    x = 63,856,638.36/9,213.75
  6. Step 6: Final answer
    x = 6,930.58

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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.