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Finding the Fourth Proportional to 9,538.08, 13,163.28 and 6,004.32

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Solution

The fourth proportional to 9,538.08, 13,163.28 and 6,004.32 is: 8,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.08 : 13,163.28 = 6,004.32 : x
  2. Step 2: Convert to fraction form
    9,538.08/13,163.28 = 6,004.32/x
  3. Step 3: Cross multiply
    9,538.08x = 13,163.28 × 6,004.32
  4. Step 4: Simplify right side
    9,538.08x = 79,036,545.37
  5. Step 5: Solve for x
    x = 79,036,545.37/9,538.08
  6. Step 6: Final answer
    x = 8,286.42

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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.