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Finding the Fourth Proportional to 6,408.94, 9,603.68 and 4,757.76

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Solution

The fourth proportional to 6,408.94, 9,603.68 and 4,757.76 is: 7,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.94 : 9,603.68 = 4,757.76 : x
  2. Step 2: Convert to fraction form
    6,408.94/9,603.68 = 4,757.76/x
  3. Step 3: Cross multiply
    6,408.94x = 9,603.68 × 4,757.76
  4. Step 4: Simplify right side
    6,408.94x = 45,692,004.56
  5. Step 5: Solve for x
    x = 45,692,004.56/6,408.94
  6. Step 6: Final answer
    x = 7,129.42

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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.