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Finding the Fourth Proportional to 6,447.90, 9,659.43 and 5,471.58

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Solution

The fourth proportional to 6,447.90, 9,659.43 and 5,471.58 is: 8,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.90 : 9,659.43 = 5,471.58 : x
  2. Step 2: Convert to fraction form
    6,447.90/9,659.43 = 5,471.58/x
  3. Step 3: Cross multiply
    6,447.90x = 9,659.43 × 5,471.58
  4. Step 4: Simplify right side
    6,447.90x = 52,852,344.00
  5. Step 5: Solve for x
    x = 52,852,344.00/6,447.90
  6. Step 6: Final answer
    x = 8,196.83

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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.