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Finding the Fourth Proportional to 9,620.68, 14,431.74 and 2,695.72

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Solution

The fourth proportional to 9,620.68, 14,431.74 and 2,695.72 is: 4,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.68 : 14,431.74 = 2,695.72 : x
  2. Step 2: Convert to fraction form
    9,620.68/14,431.74 = 2,695.72/x
  3. Step 3: Cross multiply
    9,620.68x = 14,431.74 × 2,695.72
  4. Step 4: Simplify right side
    9,620.68x = 38,903,930.15
  5. Step 5: Solve for x
    x = 38,903,930.15/9,620.68
  6. Step 6: Final answer
    x = 4,043.78

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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.