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Finding the Fourth Proportional to 6,140.68, 8,469.84 and 3,784.12

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Solution

The fourth proportional to 6,140.68, 8,469.84 and 3,784.12 is: 5,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.68 : 8,469.84 = 3,784.12 : x
  2. Step 2: Convert to fraction form
    6,140.68/8,469.84 = 3,784.12/x
  3. Step 3: Cross multiply
    6,140.68x = 8,469.84 × 3,784.12
  4. Step 4: Simplify right side
    6,140.68x = 32,050,890.94
  5. Step 5: Solve for x
    x = 32,050,890.94/6,140.68
  6. Step 6: Final answer
    x = 5,219.44

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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.