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Finding the Fourth Proportional to 9,604.57, 14,406.82 and 3,757.06

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Solution

The fourth proportional to 9,604.57, 14,406.82 and 3,757.06 is: 5,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.57 : 14,406.82 = 3,757.06 : x
  2. Step 2: Convert to fraction form
    9,604.57/14,406.82 = 3,757.06/x
  3. Step 3: Cross multiply
    9,604.57x = 14,406.82 × 3,757.06
  4. Step 4: Simplify right side
    9,604.57x = 54,127,287.15
  5. Step 5: Solve for x
    x = 54,127,287.15/9,604.57
  6. Step 6: Final answer
    x = 5,635.58

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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.