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Finding the Fourth Proportional to 6,730.70, 9,286.65 and 4,214.03

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Solution

The fourth proportional to 6,730.70, 9,286.65 and 4,214.03 is: 5,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.70 : 9,286.65 = 4,214.03 : x
  2. Step 2: Convert to fraction form
    6,730.70/9,286.65 = 4,214.03/x
  3. Step 3: Cross multiply
    6,730.70x = 9,286.65 × 4,214.03
  4. Step 4: Simplify right side
    6,730.70x = 39,134,175.27
  5. Step 5: Solve for x
    x = 39,134,175.27/6,730.70
  6. Step 6: Final answer
    x = 5,814.28

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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.