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Finding the Fourth Proportional to 9,604.34, 14,408.46 and 4,057.70

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Solution

The fourth proportional to 9,604.34, 14,408.46 and 4,057.70 is: 6,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.34 : 14,408.46 = 4,057.70 : x
  2. Step 2: Convert to fraction form
    9,604.34/14,408.46 = 4,057.70/x
  3. Step 3: Cross multiply
    9,604.34x = 14,408.46 × 4,057.70
  4. Step 4: Simplify right side
    9,604.34x = 58,465,208.14
  5. Step 5: Solve for x
    x = 58,465,208.14/9,604.34
  6. Step 6: Final answer
    x = 6,087.37

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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.