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Finding the Fourth Proportional to 6,306.28, 9,456.24 and 3,674.63

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Solution

The fourth proportional to 6,306.28, 9,456.24 and 3,674.63 is: 5,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.28 : 9,456.24 = 3,674.63 : x
  2. Step 2: Convert to fraction form
    6,306.28/9,456.24 = 3,674.63/x
  3. Step 3: Cross multiply
    6,306.28x = 9,456.24 × 3,674.63
  4. Step 4: Simplify right side
    6,306.28x = 34,748,183.19
  5. Step 5: Solve for x
    x = 34,748,183.19/6,306.28
  6. Step 6: Final answer
    x = 5,510.10

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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.