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Finding the Fourth Proportional to 6,140.34, 8,469.09 and 4,148.82

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Solution

The fourth proportional to 6,140.34, 8,469.09 and 4,148.82 is: 5,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.34 : 8,469.09 = 4,148.82 : x
  2. Step 2: Convert to fraction form
    6,140.34/8,469.09 = 4,148.82/x
  3. Step 3: Cross multiply
    6,140.34x = 8,469.09 × 4,148.82
  4. Step 4: Simplify right side
    6,140.34x = 35,136,729.97
  5. Step 5: Solve for x
    x = 35,136,729.97/6,140.34
  6. Step 6: Final answer
    x = 5,722.28

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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.