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Finding the Fourth Proportional to 6,408.95, 9,616.50 and 3,487.26

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Solution

The fourth proportional to 6,408.95, 9,616.50 and 3,487.26 is: 5,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.95 : 9,616.50 = 3,487.26 : x
  2. Step 2: Convert to fraction form
    6,408.95/9,616.50 = 3,487.26/x
  3. Step 3: Cross multiply
    6,408.95x = 9,616.50 × 3,487.26
  4. Step 4: Simplify right side
    6,408.95x = 33,535,235.79
  5. Step 5: Solve for x
    x = 33,535,235.79/6,408.95
  6. Step 6: Final answer
    x = 5,232.56

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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.