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Finding the Fourth Proportional to 9,046.92, 12,476.40 and 6,209.29

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Solution

The fourth proportional to 9,046.92, 12,476.40 and 6,209.29 is: 8,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.92 : 12,476.40 = 6,209.29 : x
  2. Step 2: Convert to fraction form
    9,046.92/12,476.40 = 6,209.29/x
  3. Step 3: Cross multiply
    9,046.92x = 12,476.40 × 6,209.29
  4. Step 4: Simplify right side
    9,046.92x = 77,469,585.76
  5. Step 5: Solve for x
    x = 77,469,585.76/9,046.92
  6. Step 6: Final answer
    x = 8,563.09

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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.