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Finding the Fourth Proportional to 6,134.54, 9,205.45 and 3,214.49

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Solution

The fourth proportional to 6,134.54, 9,205.45 and 3,214.49 is: 4,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.54 : 9,205.45 = 3,214.49 : x
  2. Step 2: Convert to fraction form
    6,134.54/9,205.45 = 3,214.49/x
  3. Step 3: Cross multiply
    6,134.54x = 9,205.45 × 3,214.49
  4. Step 4: Simplify right side
    6,134.54x = 29,590,772.91
  5. Step 5: Solve for x
    x = 29,590,772.91/6,134.54
  6. Step 6: Final answer
    x = 4,823.64

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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.