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Finding the Fourth Proportional to 9,604.56, 14,408.33 and 4,057.93

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Solution

The fourth proportional to 9,604.56, 14,408.33 and 4,057.93 is: 6,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.56 : 14,408.33 = 4,057.93 : x
  2. Step 2: Convert to fraction form
    9,604.56/14,408.33 = 4,057.93/x
  3. Step 3: Cross multiply
    9,604.56x = 14,408.33 × 4,057.93
  4. Step 4: Simplify right side
    9,604.56x = 58,468,015.10
  5. Step 5: Solve for x
    x = 58,468,015.10/9,604.56
  6. Step 6: Final answer
    x = 6,087.53

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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.