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Finding the Fourth Proportional to 6,299.71, 8,693.66 and 3,467.14

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Solution

The fourth proportional to 6,299.71, 8,693.66 and 3,467.14 is: 4,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.71 : 8,693.66 = 3,467.14 : x
  2. Step 2: Convert to fraction form
    6,299.71/8,693.66 = 3,467.14/x
  3. Step 3: Cross multiply
    6,299.71x = 8,693.66 × 3,467.14
  4. Step 4: Simplify right side
    6,299.71x = 30,142,123.27
  5. Step 5: Solve for x
    x = 30,142,123.27/6,299.71
  6. Step 6: Final answer
    x = 4,784.69

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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.