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Finding the Fourth Proportional to 6,476.43, 9,708.48 and 4,129.85

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Solution

The fourth proportional to 6,476.43, 9,708.48 and 4,129.85 is: 6,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.43 : 9,708.48 = 4,129.85 : x
  2. Step 2: Convert to fraction form
    6,476.43/9,708.48 = 4,129.85/x
  3. Step 3: Cross multiply
    6,476.43x = 9,708.48 × 4,129.85
  4. Step 4: Simplify right side
    6,476.43x = 40,094,517.59
  5. Step 5: Solve for x
    x = 40,094,517.59/6,476.43
  6. Step 6: Final answer
    x = 6,190.84

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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.