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Finding the Fourth Proportional to 9,496.40, 13,105.02 and 5,304.66

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Solution

The fourth proportional to 9,496.40, 13,105.02 and 5,304.66 is: 7,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.40 : 13,105.02 = 5,304.66 : x
  2. Step 2: Convert to fraction form
    9,496.40/13,105.02 = 5,304.66/x
  3. Step 3: Cross multiply
    9,496.40x = 13,105.02 × 5,304.66
  4. Step 4: Simplify right side
    9,496.40x = 69,517,675.39
  5. Step 5: Solve for x
    x = 69,517,675.39/9,496.40
  6. Step 6: Final answer
    x = 7,320.42

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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.