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Finding the Fourth Proportional to 6,740.24, 9,301.24 and 3,756

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Solution

The fourth proportional to 6,740.24, 9,301.24 and 3,756 is: 5,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.24 : 9,301.24 = 3,756 : x
  2. Step 2: Convert to fraction form
    6,740.24/9,301.24 = 3,756/x
  3. Step 3: Cross multiply
    6,740.24x = 9,301.24 × 3,756
  4. Step 4: Simplify right side
    6,740.24x = 34,935,457.44
  5. Step 5: Solve for x
    x = 34,935,457.44/6,740.24
  6. Step 6: Final answer
    x = 5,183.12

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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.