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Finding the Fourth Proportional to 7,836.14, 11,754.29 and 6,274.11

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Solution

The fourth proportional to 7,836.14, 11,754.29 and 6,274.11 is: 9,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.14 : 11,754.29 = 6,274.11 : x
  2. Step 2: Convert to fraction form
    7,836.14/11,754.29 = 6,274.11/x
  3. Step 3: Cross multiply
    7,836.14x = 11,754.29 × 6,274.11
  4. Step 4: Simplify right side
    7,836.14x = 73,747,684.43
  5. Step 5: Solve for x
    x = 73,747,684.43/7,836.14
  6. Step 6: Final answer
    x = 9,411.22

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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.