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Finding the Fourth Proportional to 6,666.68, 9,200.72 and 3,834.92

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Solution

The fourth proportional to 6,666.68, 9,200.72 and 3,834.92 is: 5,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.68 : 9,200.72 = 3,834.92 : x
  2. Step 2: Convert to fraction form
    6,666.68/9,200.72 = 3,834.92/x
  3. Step 3: Cross multiply
    6,666.68x = 9,200.72 × 3,834.92
  4. Step 4: Simplify right side
    6,666.68x = 35,284,025.14
  5. Step 5: Solve for x
    x = 35,284,025.14/6,666.68
  6. Step 6: Final answer
    x = 5,292.59

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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.