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Finding the Fourth Proportional to 9,305.10, 13,957.65 and 3,149.10

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Solution

The fourth proportional to 9,305.10, 13,957.65 and 3,149.10 is: 4,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.10 : 13,957.65 = 3,149.10 : x
  2. Step 2: Convert to fraction form
    9,305.10/13,957.65 = 3,149.10/x
  3. Step 3: Cross multiply
    9,305.10x = 13,957.65 × 3,149.10
  4. Step 4: Simplify right side
    9,305.10x = 43,954,035.62
  5. Step 5: Solve for x
    x = 43,954,035.62/9,305.10
  6. Step 6: Final answer
    x = 4,723.65

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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.