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Finding the Fourth Proportional to 9,104.59, 13,662.20 and 3,839.28

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Solution

The fourth proportional to 9,104.59, 13,662.20 and 3,839.28 is: 5,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.59 : 13,662.20 = 3,839.28 : x
  2. Step 2: Convert to fraction form
    9,104.59/13,662.20 = 3,839.28/x
  3. Step 3: Cross multiply
    9,104.59x = 13,662.20 × 3,839.28
  4. Step 4: Simplify right side
    9,104.59x = 52,453,011.22
  5. Step 5: Solve for x
    x = 52,453,011.22/9,104.59
  6. Step 6: Final answer
    x = 5,761.16

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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.