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Finding the Fourth Proportional to 9,496.63, 13,105.39 and 5,304.88

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Solution

The fourth proportional to 9,496.63, 13,105.39 and 5,304.88 is: 7,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.63 : 13,105.39 = 5,304.88 : x
  2. Step 2: Convert to fraction form
    9,496.63/13,105.39 = 5,304.88/x
  3. Step 3: Cross multiply
    9,496.63x = 13,105.39 × 5,304.88
  4. Step 4: Simplify right side
    9,496.63x = 69,522,475.28
  5. Step 5: Solve for x
    x = 69,522,475.28/9,496.63
  6. Step 6: Final answer
    x = 7,320.75

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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.