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Finding the Fourth Proportional to 9,305.73, 13,959.12 and 2,981.16

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Solution

The fourth proportional to 9,305.73, 13,959.12 and 2,981.16 is: 4,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.73 : 13,959.12 = 2,981.16 : x
  2. Step 2: Convert to fraction form
    9,305.73/13,959.12 = 2,981.16/x
  3. Step 3: Cross multiply
    9,305.73x = 13,959.12 × 2,981.16
  4. Step 4: Simplify right side
    9,305.73x = 41,614,370.18
  5. Step 5: Solve for x
    x = 41,614,370.18/9,305.73
  6. Step 6: Final answer
    x = 4,471.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.