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Finding the Fourth Proportional to 6,811.92, 9,400.32 and 4,159.80

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Solution

The fourth proportional to 6,811.92, 9,400.32 and 4,159.80 is: 5,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.92 : 9,400.32 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    6,811.92/9,400.32 = 4,159.80/x
  3. Step 3: Cross multiply
    6,811.92x = 9,400.32 × 4,159.80
  4. Step 4: Simplify right side
    6,811.92x = 39,103,451.14
  5. Step 5: Solve for x
    x = 39,103,451.14/6,811.92
  6. Step 6: Final answer
    x = 5,740.44

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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.