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Finding the Fourth Proportional to 6,730.07, 9,287.43 and 3,745.86

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Solution

The fourth proportional to 6,730.07, 9,287.43 and 3,745.86 is: 5,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.07 : 9,287.43 = 3,745.86 : x
  2. Step 2: Convert to fraction form
    6,730.07/9,287.43 = 3,745.86/x
  3. Step 3: Cross multiply
    6,730.07x = 9,287.43 × 3,745.86
  4. Step 4: Simplify right side
    6,730.07x = 34,789,347.37
  5. Step 5: Solve for x
    x = 34,789,347.37/6,730.07
  6. Step 6: Final answer
    x = 5,169.24

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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.