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Finding the Fourth Proportional to 7,005.99, 9,682.20 and 5,745.09

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Solution

The fourth proportional to 7,005.99, 9,682.20 and 5,745.09 is: 7,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.99 : 9,682.20 = 5,745.09 : x
  2. Step 2: Convert to fraction form
    7,005.99/9,682.20 = 5,745.09/x
  3. Step 3: Cross multiply
    7,005.99x = 9,682.20 × 5,745.09
  4. Step 4: Simplify right side
    7,005.99x = 55,625,110.40
  5. Step 5: Solve for x
    x = 55,625,110.40/7,005.99
  6. Step 6: Final answer
    x = 7,939.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.