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Finding the Fourth Proportional to 6,304.83, 9,457.24 and 3,806.52

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Solution

The fourth proportional to 6,304.83, 9,457.24 and 3,806.52 is: 5,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.83 : 9,457.24 = 3,806.52 : x
  2. Step 2: Convert to fraction form
    6,304.83/9,457.24 = 3,806.52/x
  3. Step 3: Cross multiply
    6,304.83x = 9,457.24 × 3,806.52
  4. Step 4: Simplify right side
    6,304.83x = 35,999,128.22
  5. Step 5: Solve for x
    x = 35,999,128.22/6,304.83
  6. Step 6: Final answer
    x = 5,709.77

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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.