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Finding the Fourth Proportional to 9,620.80, 14,431.70 and 4,694.64

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Solution

The fourth proportional to 9,620.80, 14,431.70 and 4,694.64 is: 7,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.80 : 14,431.70 = 4,694.64 : x
  2. Step 2: Convert to fraction form
    9,620.80/14,431.70 = 4,694.64/x
  3. Step 3: Cross multiply
    9,620.80x = 14,431.70 × 4,694.64
  4. Step 4: Simplify right side
    9,620.80x = 67,751,636.09
  5. Step 5: Solve for x
    x = 67,751,636.09/9,620.80
  6. Step 6: Final answer
    x = 7,042.20

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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.