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Finding the Fourth Proportional to 9,749.69, 14,625.75 and 3,174.11

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Solution

The fourth proportional to 9,749.69, 14,625.75 and 3,174.11 is: 4,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.69 : 14,625.75 = 3,174.11 : x
  2. Step 2: Convert to fraction form
    9,749.69/14,625.75 = 3,174.11/x
  3. Step 3: Cross multiply
    9,749.69x = 14,625.75 × 3,174.11
  4. Step 4: Simplify right side
    9,749.69x = 46,423,739.33
  5. Step 5: Solve for x
    x = 46,423,739.33/9,749.69
  6. Step 6: Final answer
    x = 4,761.56

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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.