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Finding the Fourth Proportional to 9,163.86, 12,623.50 and 7,815.08

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Solution

The fourth proportional to 9,163.86, 12,623.50 and 7,815.08 is: 10,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.86 : 12,623.50 = 7,815.08 : x
  2. Step 2: Convert to fraction form
    9,163.86/12,623.50 = 7,815.08/x
  3. Step 3: Cross multiply
    9,163.86x = 12,623.50 × 7,815.08
  4. Step 4: Simplify right side
    9,163.86x = 98,653,662.38
  5. Step 5: Solve for x
    x = 98,653,662.38/9,163.86
  6. Step 6: Final answer
    x = 10,765.51

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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.