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Finding the Fourth Proportional to 9,625.89, 14,435.19 and 3,779.31

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Solution

The fourth proportional to 9,625.89, 14,435.19 and 3,779.31 is: 5,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.89 : 14,435.19 = 3,779.31 : x
  2. Step 2: Convert to fraction form
    9,625.89/14,435.19 = 3,779.31/x
  3. Step 3: Cross multiply
    9,625.89x = 14,435.19 × 3,779.31
  4. Step 4: Simplify right side
    9,625.89x = 54,555,057.92
  5. Step 5: Solve for x
    x = 54,555,057.92/9,625.89
  6. Step 6: Final answer
    x = 5,667.53

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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.