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Finding the Fourth Proportional to 6,214.66, 9,306.83 and 4,732.28

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Solution

The fourth proportional to 6,214.66, 9,306.83 and 4,732.28 is: 7,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.66 : 9,306.83 = 4,732.28 : x
  2. Step 2: Convert to fraction form
    6,214.66/9,306.83 = 4,732.28/x
  3. Step 3: Cross multiply
    6,214.66x = 9,306.83 × 4,732.28
  4. Step 4: Simplify right side
    6,214.66x = 44,042,525.47
  5. Step 5: Solve for x
    x = 44,042,525.47/6,214.66
  6. Step 6: Final answer
    x = 7,086.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.