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Finding the Fourth Proportional to 6,809.39, 10,199.72 and 3,114.72

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Solution

The fourth proportional to 6,809.39, 10,199.72 and 3,114.72 is: 4,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.39 : 10,199.72 = 3,114.72 : x
  2. Step 2: Convert to fraction form
    6,809.39/10,199.72 = 3,114.72/x
  3. Step 3: Cross multiply
    6,809.39x = 10,199.72 × 3,114.72
  4. Step 4: Simplify right side
    6,809.39x = 31,769,256.30
  5. Step 5: Solve for x
    x = 31,769,256.30/6,809.39
  6. Step 6: Final answer
    x = 4,665.51

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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.