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Finding the Fourth Proportional to 6,524.45, 9,793.08 and 3,406.94

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Solution

The fourth proportional to 6,524.45, 9,793.08 and 3,406.94 is: 5,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.45 : 9,793.08 = 3,406.94 : x
  2. Step 2: Convert to fraction form
    6,524.45/9,793.08 = 3,406.94/x
  3. Step 3: Cross multiply
    6,524.45x = 9,793.08 × 3,406.94
  4. Step 4: Simplify right side
    6,524.45x = 33,364,460.46
  5. Step 5: Solve for x
    x = 33,364,460.46/6,524.45
  6. Step 6: Final answer
    x = 5,113.76

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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.