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Finding the Fourth Proportional to 7,163.69, 9,889.25 and 4,777.65

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Solution

The fourth proportional to 7,163.69, 9,889.25 and 4,777.65 is: 6,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.69 : 9,889.25 = 4,777.65 : x
  2. Step 2: Convert to fraction form
    7,163.69/9,889.25 = 4,777.65/x
  3. Step 3: Cross multiply
    7,163.69x = 9,889.25 × 4,777.65
  4. Step 4: Simplify right side
    7,163.69x = 47,247,351.37
  5. Step 5: Solve for x
    x = 47,247,351.37/7,163.69
  6. Step 6: Final answer
    x = 6,595.40

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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.