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Finding the Fourth Proportional to 6,614.74, 9,128.67 and 3,630.54

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Solution

The fourth proportional to 6,614.74, 9,128.67 and 3,630.54 is: 5,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.74 : 9,128.67 = 3,630.54 : x
  2. Step 2: Convert to fraction form
    6,614.74/9,128.67 = 3,630.54/x
  3. Step 3: Cross multiply
    6,614.74x = 9,128.67 × 3,630.54
  4. Step 4: Simplify right side
    6,614.74x = 33,142,022.20
  5. Step 5: Solve for x
    x = 33,142,022.20/6,614.74
  6. Step 6: Final answer
    x = 5,010.33

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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.