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Finding the Fourth Proportional to 6,311.30, 8,709.40 and 3,954.74

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Solution

The fourth proportional to 6,311.30, 8,709.40 and 3,954.74 is: 5,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.30 : 8,709.40 = 3,954.74 : x
  2. Step 2: Convert to fraction form
    6,311.30/8,709.40 = 3,954.74/x
  3. Step 3: Cross multiply
    6,311.30x = 8,709.40 × 3,954.74
  4. Step 4: Simplify right side
    6,311.30x = 34,443,412.56
  5. Step 5: Solve for x
    x = 34,443,412.56/6,311.30
  6. Step 6: Final answer
    x = 5,457.42

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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.