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Finding the Fourth Proportional to 9,469.92, 13,075.92 and 7,698.72

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Solution

The fourth proportional to 9,469.92, 13,075.92 and 7,698.72 is: 10,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.92 : 13,075.92 = 7,698.72 : x
  2. Step 2: Convert to fraction form
    9,469.92/13,075.92 = 7,698.72/x
  3. Step 3: Cross multiply
    9,469.92x = 13,075.92 × 7,698.72
  4. Step 4: Simplify right side
    9,469.92x = 100,667,846.82
  5. Step 5: Solve for x
    x = 100,667,846.82/9,469.92
  6. Step 6: Final answer
    x = 10,630.27

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