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Finding the Fourth Proportional to 9,471.56, 14,205.72 and 2,546.12

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Solution

The fourth proportional to 9,471.56, 14,205.72 and 2,546.12 is: 3,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.56 : 14,205.72 = 2,546.12 : x
  2. Step 2: Convert to fraction form
    9,471.56/14,205.72 = 2,546.12/x
  3. Step 3: Cross multiply
    9,471.56x = 14,205.72 × 2,546.12
  4. Step 4: Simplify right side
    9,471.56x = 36,169,467.81
  5. Step 5: Solve for x
    x = 36,169,467.81/9,471.56
  6. Step 6: Final answer
    x = 3,818.74

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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.