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Finding the Fourth Proportional to 6,286.55, 9,429.84 and 2,126.59

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Solution

The fourth proportional to 6,286.55, 9,429.84 and 2,126.59 is: 3,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.55 : 9,429.84 = 2,126.59 : x
  2. Step 2: Convert to fraction form
    6,286.55/9,429.84 = 2,126.59/x
  3. Step 3: Cross multiply
    6,286.55x = 9,429.84 × 2,126.59
  4. Step 4: Simplify right side
    6,286.55x = 20,053,403.45
  5. Step 5: Solve for x
    x = 20,053,403.45/6,286.55
  6. Step 6: Final answer
    x = 3,189.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.