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Finding the Fourth Proportional to 9,408.99, 14,113.49 and 7,645.62

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Solution

The fourth proportional to 9,408.99, 14,113.49 and 7,645.62 is: 11,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.99 : 14,113.49 = 7,645.62 : x
  2. Step 2: Convert to fraction form
    9,408.99/14,113.49 = 7,645.62/x
  3. Step 3: Cross multiply
    9,408.99x = 14,113.49 × 7,645.62
  4. Step 4: Simplify right side
    9,408.99x = 107,906,343.19
  5. Step 5: Solve for x
    x = 107,906,343.19/9,408.99
  6. Step 6: Final answer
    x = 11,468.43

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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.