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Finding the Fourth Proportional to 6,408.08, 9,616.98 and 4,323.14

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Solution

The fourth proportional to 6,408.08, 9,616.98 and 4,323.14 is: 6,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.08 : 9,616.98 = 4,323.14 : x
  2. Step 2: Convert to fraction form
    6,408.08/9,616.98 = 4,323.14/x
  3. Step 3: Cross multiply
    6,408.08x = 9,616.98 × 4,323.14
  4. Step 4: Simplify right side
    6,408.08x = 41,575,502.83
  5. Step 5: Solve for x
    x = 41,575,502.83/6,408.08
  6. Step 6: Final answer
    x = 6,487.99

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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.