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Finding the Fourth Proportional to 6,629.86, 9,149.46 and 3,645.94

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Solution

The fourth proportional to 6,629.86, 9,149.46 and 3,645.94 is: 5,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.86 : 9,149.46 = 3,645.94 : x
  2. Step 2: Convert to fraction form
    6,629.86/9,149.46 = 3,645.94/x
  3. Step 3: Cross multiply
    6,629.86x = 9,149.46 × 3,645.94
  4. Step 4: Simplify right side
    6,629.86x = 33,358,382.19
  5. Step 5: Solve for x
    x = 33,358,382.19/6,629.86
  6. Step 6: Final answer
    x = 5,031.54

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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.