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Finding the Fourth Proportional to 6,941.62, 9,576.93 and 4,108.34

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Solution

The fourth proportional to 6,941.62, 9,576.93 and 4,108.34 is: 5,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.62 : 9,576.93 = 4,108.34 : x
  2. Step 2: Convert to fraction form
    6,941.62/9,576.93 = 4,108.34/x
  3. Step 3: Cross multiply
    6,941.62x = 9,576.93 × 4,108.34
  4. Step 4: Simplify right side
    6,941.62x = 39,345,284.60
  5. Step 5: Solve for x
    x = 39,345,284.60/6,941.62
  6. Step 6: Final answer
    x = 5,668.03

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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.