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Finding the Fourth Proportional to 6,733.46, 9,296.73 and 4,216.58

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Solution

The fourth proportional to 6,733.46, 9,296.73 and 4,216.58 is: 5,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.46 : 9,296.73 = 4,216.58 : x
  2. Step 2: Convert to fraction form
    6,733.46/9,296.73 = 4,216.58/x
  3. Step 3: Cross multiply
    6,733.46x = 9,296.73 × 4,216.58
  4. Step 4: Simplify right side
    6,733.46x = 39,200,359.30
  5. Step 5: Solve for x
    x = 39,200,359.30/6,733.46
  6. Step 6: Final answer
    x = 5,821.73

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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.