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Finding the Fourth Proportional to 6,716.32, 9,269.20 and 3,922.08

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Solution

The fourth proportional to 6,716.32, 9,269.20 and 3,922.08 is: 5,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.32 : 9,269.20 = 3,922.08 : x
  2. Step 2: Convert to fraction form
    6,716.32/9,269.20 = 3,922.08/x
  3. Step 3: Cross multiply
    6,716.32x = 9,269.20 × 3,922.08
  4. Step 4: Simplify right side
    6,716.32x = 36,354,543.94
  5. Step 5: Solve for x
    x = 36,354,543.94/6,716.32
  6. Step 6: Final answer
    x = 5,412.87

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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.