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Finding the Fourth Proportional to 9,904.92, 13,668.38 and 5,928.22

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Solution

The fourth proportional to 9,904.92, 13,668.38 and 5,928.22 is: 8,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.92 : 13,668.38 = 5,928.22 : x
  2. Step 2: Convert to fraction form
    9,904.92/13,668.38 = 5,928.22/x
  3. Step 3: Cross multiply
    9,904.92x = 13,668.38 × 5,928.22
  4. Step 4: Simplify right side
    9,904.92x = 81,029,134.04
  5. Step 5: Solve for x
    x = 81,029,134.04/9,904.92
  6. Step 6: Final answer
    x = 8,180.70

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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.