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Finding the Fourth Proportional to 6,814.87, 9,405.39 and 4,161.72

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Solution

The fourth proportional to 6,814.87, 9,405.39 and 4,161.72 is: 5,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.87 : 9,405.39 = 4,161.72 : x
  2. Step 2: Convert to fraction form
    6,814.87/9,405.39 = 4,161.72/x
  3. Step 3: Cross multiply
    6,814.87x = 9,405.39 × 4,161.72
  4. Step 4: Simplify right side
    6,814.87x = 39,142,599.67
  5. Step 5: Solve for x
    x = 39,142,599.67/6,814.87
  6. Step 6: Final answer
    x = 5,743.70

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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.