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Finding the Fourth Proportional to 6,747.50, 9,311.56 and 3,953

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Solution

The fourth proportional to 6,747.50, 9,311.56 and 3,953 is: 5,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.50 : 9,311.56 = 3,953 : x
  2. Step 2: Convert to fraction form
    6,747.50/9,311.56 = 3,953/x
  3. Step 3: Cross multiply
    6,747.50x = 9,311.56 × 3,953
  4. Step 4: Simplify right side
    6,747.50x = 36,808,596.68
  5. Step 5: Solve for x
    x = 36,808,596.68/6,747.50
  6. Step 6: Final answer
    x = 5,455.15

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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.