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Finding the Fourth Proportional to 6,470.67, 9,709.77 and 2,722.18

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Solution

The fourth proportional to 6,470.67, 9,709.77 and 2,722.18 is: 4,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.67 : 9,709.77 = 2,722.18 : x
  2. Step 2: Convert to fraction form
    6,470.67/9,709.77 = 2,722.18/x
  3. Step 3: Cross multiply
    6,470.67x = 9,709.77 × 2,722.18
  4. Step 4: Simplify right side
    6,470.67x = 26,431,679.54
  5. Step 5: Solve for x
    x = 26,431,679.54/6,470.67
  6. Step 6: Final answer
    x = 4,084.84

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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.