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Finding the Fourth Proportional to 9,260.91, 12,784.16 and 5,908.12

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Solution

The fourth proportional to 9,260.91, 12,784.16 and 5,908.12 is: 8,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.91 : 12,784.16 = 5,908.12 : x
  2. Step 2: Convert to fraction form
    9,260.91/12,784.16 = 5,908.12/x
  3. Step 3: Cross multiply
    9,260.91x = 12,784.16 × 5,908.12
  4. Step 4: Simplify right side
    9,260.91x = 75,530,351.38
  5. Step 5: Solve for x
    x = 75,530,351.38/9,260.91
  6. Step 6: Final answer
    x = 8,155.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.