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Finding the Fourth Proportional to 6,614.72, 9,128.51 and 3,630.75

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Solution

The fourth proportional to 6,614.72, 9,128.51 and 3,630.75 is: 5,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.72 : 9,128.51 = 3,630.75 : x
  2. Step 2: Convert to fraction form
    6,614.72/9,128.51 = 3,630.75/x
  3. Step 3: Cross multiply
    6,614.72x = 9,128.51 × 3,630.75
  4. Step 4: Simplify right side
    6,614.72x = 33,143,319.53
  5. Step 5: Solve for x
    x = 33,143,319.53/6,614.72
  6. Step 6: Final answer
    x = 5,010.54

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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.