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Finding the Fourth Proportional to 9,391.72, 12,960.90 and 5,200.36

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Solution

The fourth proportional to 9,391.72, 12,960.90 and 5,200.36 is: 7,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.72 : 12,960.90 = 5,200.36 : x
  2. Step 2: Convert to fraction form
    9,391.72/12,960.90 = 5,200.36/x
  3. Step 3: Cross multiply
    9,391.72x = 12,960.90 × 5,200.36
  4. Step 4: Simplify right side
    9,391.72x = 67,401,345.92
  5. Step 5: Solve for x
    x = 67,401,345.92/9,391.72
  6. Step 6: Final answer
    x = 7,176.68

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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.