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Finding the Fourth Proportional to 6,734.91, 9,293.65 and 4,046.27

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Solution

The fourth proportional to 6,734.91, 9,293.65 and 4,046.27 is: 5,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.91 : 9,293.65 = 4,046.27 : x
  2. Step 2: Convert to fraction form
    6,734.91/9,293.65 = 4,046.27/x
  3. Step 3: Cross multiply
    6,734.91x = 9,293.65 × 4,046.27
  4. Step 4: Simplify right side
    6,734.91x = 37,604,635.64
  5. Step 5: Solve for x
    x = 37,604,635.64/6,734.91
  6. Step 6: Final answer
    x = 5,583.54

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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.