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Finding the Fourth Proportional to 9,596.34, 14,375.34 and 5,905.76

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Solution

The fourth proportional to 9,596.34, 14,375.34 and 5,905.76 is: 8,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.34 : 14,375.34 = 5,905.76 : x
  2. Step 2: Convert to fraction form
    9,596.34/14,375.34 = 5,905.76/x
  3. Step 3: Cross multiply
    9,596.34x = 14,375.34 × 5,905.76
  4. Step 4: Simplify right side
    9,596.34x = 84,897,236.08
  5. Step 5: Solve for x
    x = 84,897,236.08/9,596.34
  6. Step 6: Final answer
    x = 8,846.83

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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.