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Finding the Fourth Proportional to 6,140.28, 8,473.74 and 3,783.96

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Solution

The fourth proportional to 6,140.28, 8,473.74 and 3,783.96 is: 5,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.28 : 8,473.74 = 3,783.96 : x
  2. Step 2: Convert to fraction form
    6,140.28/8,473.74 = 3,783.96/x
  3. Step 3: Cross multiply
    6,140.28x = 8,473.74 × 3,783.96
  4. Step 4: Simplify right side
    6,140.28x = 32,064,293.21
  5. Step 5: Solve for x
    x = 32,064,293.21/6,140.28
  6. Step 6: Final answer
    x = 5,221.96

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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.