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Finding the Fourth Proportional to 9,302.92, 12,836.27 and 5,767

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Solution

The fourth proportional to 9,302.92, 12,836.27 and 5,767 is: 7,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.92 : 12,836.27 = 5,767 : x
  2. Step 2: Convert to fraction form
    9,302.92/12,836.27 = 5,767/x
  3. Step 3: Cross multiply
    9,302.92x = 12,836.27 × 5,767
  4. Step 4: Simplify right side
    9,302.92x = 74,026,769.09
  5. Step 5: Solve for x
    x = 74,026,769.09/9,302.92
  6. Step 6: Final answer
    x = 7,957.37

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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.