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Finding the Fourth Proportional to 6,523.96, 9,783.89 and 2,140.39

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Solution

The fourth proportional to 6,523.96, 9,783.89 and 2,140.39 is: 3,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.96 : 9,783.89 = 2,140.39 : x
  2. Step 2: Convert to fraction form
    6,523.96/9,783.89 = 2,140.39/x
  3. Step 3: Cross multiply
    6,523.96x = 9,783.89 × 2,140.39
  4. Step 4: Simplify right side
    6,523.96x = 20,941,280.70
  5. Step 5: Solve for x
    x = 20,941,280.70/6,523.96
  6. Step 6: Final answer
    x = 3,209.91

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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.