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Finding the Fourth Proportional to 9,606.49, 14,408.52 and 3,033.34

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Solution

The fourth proportional to 9,606.49, 14,408.52 and 3,033.34 is: 4,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.49 : 14,408.52 = 3,033.34 : x
  2. Step 2: Convert to fraction form
    9,606.49/14,408.52 = 3,033.34/x
  3. Step 3: Cross multiply
    9,606.49x = 14,408.52 × 3,033.34
  4. Step 4: Simplify right side
    9,606.49x = 43,705,892.66
  5. Step 5: Solve for x
    x = 43,705,892.66/9,606.49
  6. Step 6: Final answer
    x = 4,549.62

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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.