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Finding the Fourth Proportional to 9,252.87, 12,769.11 and 5,274.06

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Solution

The fourth proportional to 9,252.87, 12,769.11 and 5,274.06 is: 7,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.87 : 12,769.11 = 5,274.06 : x
  2. Step 2: Convert to fraction form
    9,252.87/12,769.11 = 5,274.06/x
  3. Step 3: Cross multiply
    9,252.87x = 12,769.11 × 5,274.06
  4. Step 4: Simplify right side
    9,252.87x = 67,345,052.29
  5. Step 5: Solve for x
    x = 67,345,052.29/9,252.87
  6. Step 6: Final answer
    x = 7,278.29

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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.