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Finding the Fourth Proportional to 9,604.47, 14,408.66 and 5,446.34

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Solution

The fourth proportional to 9,604.47, 14,408.66 and 5,446.34 is: 8,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.47 : 14,408.66 = 5,446.34 : x
  2. Step 2: Convert to fraction form
    9,604.47/14,408.66 = 5,446.34/x
  3. Step 3: Cross multiply
    9,604.47x = 14,408.66 × 5,446.34
  4. Step 4: Simplify right side
    9,604.47x = 78,474,402.88
  5. Step 5: Solve for x
    x = 78,474,402.88/9,604.47
  6. Step 6: Final answer
    x = 8,170.61

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