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Finding the Fourth Proportional to 6,524.75, 9,004.16 and 3,730.31

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Solution

The fourth proportional to 6,524.75, 9,004.16 and 3,730.31 is: 5,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.75 : 9,004.16 = 3,730.31 : x
  2. Step 2: Convert to fraction form
    6,524.75/9,004.16 = 3,730.31/x
  3. Step 3: Cross multiply
    6,524.75x = 9,004.16 × 3,730.31
  4. Step 4: Simplify right side
    6,524.75x = 33,588,308.09
  5. Step 5: Solve for x
    x = 33,588,308.09/6,524.75
  6. Step 6: Final answer
    x = 5,147.83

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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.