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Finding the Fourth Proportional to 6,666.82, 9,200.15 and 3,682.65

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Solution

The fourth proportional to 6,666.82, 9,200.15 and 3,682.65 is: 5,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.82 : 9,200.15 = 3,682.65 : x
  2. Step 2: Convert to fraction form
    6,666.82/9,200.15 = 3,682.65/x
  3. Step 3: Cross multiply
    6,666.82x = 9,200.15 × 3,682.65
  4. Step 4: Simplify right side
    6,666.82x = 33,880,898.91
  5. Step 5: Solve for x
    x = 33,880,898.91/6,666.82
  6. Step 6: Final answer
    x = 5,082.02

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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.