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Finding the Fourth Proportional to 9,163.29, 13,713.78 and 5,655.52

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Solution

The fourth proportional to 9,163.29, 13,713.78 and 5,655.52 is: 8,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.29 : 13,713.78 = 5,655.52 : x
  2. Step 2: Convert to fraction form
    9,163.29/13,713.78 = 5,655.52/x
  3. Step 3: Cross multiply
    9,163.29x = 13,713.78 × 5,655.52
  4. Step 4: Simplify right side
    9,163.29x = 77,558,488.50
  5. Step 5: Solve for x
    x = 77,558,488.50/9,163.29
  6. Step 6: Final answer
    x = 8,464.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.