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Finding the Fourth Proportional to 9,125.63, 12,595.38 and 5,933.37

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Solution

The fourth proportional to 9,125.63, 12,595.38 and 5,933.37 is: 8,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.63 : 12,595.38 = 5,933.37 : x
  2. Step 2: Convert to fraction form
    9,125.63/12,595.38 = 5,933.37/x
  3. Step 3: Cross multiply
    9,125.63x = 12,595.38 × 5,933.37
  4. Step 4: Simplify right side
    9,125.63x = 74,733,049.83
  5. Step 5: Solve for x
    x = 74,733,049.83/9,125.63
  6. Step 6: Final answer
    x = 8,189.36

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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.