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Finding the Fourth Proportional to 6,286.14, 8,670.02 and 4,606.92

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Solution

The fourth proportional to 6,286.14, 8,670.02 and 4,606.92 is: 6,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.14 : 8,670.02 = 4,606.92 : x
  2. Step 2: Convert to fraction form
    6,286.14/8,670.02 = 4,606.92/x
  3. Step 3: Cross multiply
    6,286.14x = 8,670.02 × 4,606.92
  4. Step 4: Simplify right side
    6,286.14x = 39,942,065.50
  5. Step 5: Solve for x
    x = 39,942,065.50/6,286.14
  6. Step 6: Final answer
    x = 6,353.99

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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.