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Finding the Fourth Proportional to 9,694.14, 14,541.21 and 2,674.23

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Solution

The fourth proportional to 9,694.14, 14,541.21 and 2,674.23 is: 4,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.14 : 14,541.21 = 2,674.23 : x
  2. Step 2: Convert to fraction form
    9,694.14/14,541.21 = 2,674.23/x
  3. Step 3: Cross multiply
    9,694.14x = 14,541.21 × 2,674.23
  4. Step 4: Simplify right side
    9,694.14x = 38,886,540.02
  5. Step 5: Solve for x
    x = 38,886,540.02/9,694.14
  6. Step 6: Final answer
    x = 4,011.35

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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.