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Finding the Fourth Proportional to 6,494.43, 8,956.43 and 4,255.50

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Solution

The fourth proportional to 6,494.43, 8,956.43 and 4,255.50 is: 5,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.43 : 8,956.43 = 4,255.50 : x
  2. Step 2: Convert to fraction form
    6,494.43/8,956.43 = 4,255.50/x
  3. Step 3: Cross multiply
    6,494.43x = 8,956.43 × 4,255.50
  4. Step 4: Simplify right side
    6,494.43x = 38,114,053.72
  5. Step 5: Solve for x
    x = 38,114,053.72/6,494.43
  6. Step 6: Final answer
    x = 5,868.73

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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.