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Finding the Fourth Proportional to 6,314.09, 8,711.88 and 3,795.69

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Solution

The fourth proportional to 6,314.09, 8,711.88 and 3,795.69 is: 5,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.09 : 8,711.88 = 3,795.69 : x
  2. Step 2: Convert to fraction form
    6,314.09/8,711.88 = 3,795.69/x
  3. Step 3: Cross multiply
    6,314.09x = 8,711.88 × 3,795.69
  4. Step 4: Simplify right side
    6,314.09x = 33,067,576.82
  5. Step 5: Solve for x
    x = 33,067,576.82/6,314.09
  6. Step 6: Final answer
    x = 5,237.11

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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.