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Finding the Fourth Proportional to 9,749.67, 14,625.94 and 2,823.27

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Solution

The fourth proportional to 9,749.67, 14,625.94 and 2,823.27 is: 4,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.67 : 14,625.94 = 2,823.27 : x
  2. Step 2: Convert to fraction form
    9,749.67/14,625.94 = 2,823.27/x
  3. Step 3: Cross multiply
    9,749.67x = 14,625.94 × 2,823.27
  4. Step 4: Simplify right side
    9,749.67x = 41,292,977.62
  5. Step 5: Solve for x
    x = 41,292,977.62/9,749.67
  6. Step 6: Final answer
    x = 4,235.32

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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.