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Finding the Fourth Proportional to 6,614.85, 9,128.76 and 3,782.69

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Solution

The fourth proportional to 6,614.85, 9,128.76 and 3,782.69 is: 5,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.85 : 9,128.76 = 3,782.69 : x
  2. Step 2: Convert to fraction form
    6,614.85/9,128.76 = 3,782.69/x
  3. Step 3: Cross multiply
    6,614.85x = 9,128.76 × 3,782.69
  4. Step 4: Simplify right side
    6,614.85x = 34,531,269.16
  5. Step 5: Solve for x
    x = 34,531,269.16/6,614.85
  6. Step 6: Final answer
    x = 5,220.26

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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.