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Finding the Fourth Proportional to 6,666.93, 9,200.26 and 3,682.93

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Solution

The fourth proportional to 6,666.93, 9,200.26 and 3,682.93 is: 5,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.93 : 9,200.26 = 3,682.93 : x
  2. Step 2: Convert to fraction form
    6,666.93/9,200.26 = 3,682.93/x
  3. Step 3: Cross multiply
    6,666.93x = 9,200.26 × 3,682.93
  4. Step 4: Simplify right side
    6,666.93x = 33,883,938.30
  5. Step 5: Solve for x
    x = 33,883,938.30/6,666.93
  6. Step 6: Final answer
    x = 5,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.