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Finding the Fourth Proportional to 9,553.84, 14,327.97 and 3,313.60

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Solution

The fourth proportional to 9,553.84, 14,327.97 and 3,313.60 is: 4,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.84 : 14,327.97 = 3,313.60 : x
  2. Step 2: Convert to fraction form
    9,553.84/14,327.97 = 3,313.60/x
  3. Step 3: Cross multiply
    9,553.84x = 14,327.97 × 3,313.60
  4. Step 4: Simplify right side
    9,553.84x = 47,477,161.39
  5. Step 5: Solve for x
    x = 47,477,161.39/9,553.84
  6. Step 6: Final answer
    x = 4,969.43

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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.