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Finding the Fourth Proportional to 9,305.16, 13,959.66 and 3,149

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Solution

The fourth proportional to 9,305.16, 13,959.66 and 3,149 is: 4,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.16 : 13,959.66 = 3,149 : x
  2. Step 2: Convert to fraction form
    9,305.16/13,959.66 = 3,149/x
  3. Step 3: Cross multiply
    9,305.16x = 13,959.66 × 3,149
  4. Step 4: Simplify right side
    9,305.16x = 43,958,969.34
  5. Step 5: Solve for x
    x = 43,958,969.34/9,305.16
  6. Step 6: Final answer
    x = 4,724.15

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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.