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Finding the Fourth Proportional to 9,616, 13,270.12 and 5,200

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Solution

The fourth proportional to 9,616, 13,270.12 and 5,200 is: 7,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 13,270.12 = 5,200 : x
  2. Step 2: Convert to fraction form
    9,616/13,270.12 = 5,200/x
  3. Step 3: Cross multiply
    9,616x = 13,270.12 × 5,200
  4. Step 4: Simplify right side
    9,616x = 69,004,624
  5. Step 5: Solve for x
    x = 69,004,624/9,616
  6. Step 6: Final answer
    x = 7,176.02

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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.