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Finding the Fourth Proportional to 9,600.23, 13,246.71 and 5,350.36

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Solution

The fourth proportional to 9,600.23, 13,246.71 and 5,350.36 is: 7,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.23 : 13,246.71 = 5,350.36 : x
  2. Step 2: Convert to fraction form
    9,600.23/13,246.71 = 5,350.36/x
  3. Step 3: Cross multiply
    9,600.23x = 13,246.71 × 5,350.36
  4. Step 4: Simplify right side
    9,600.23x = 70,874,574.33
  5. Step 5: Solve for x
    x = 70,874,574.33/9,600.23
  6. Step 6: Final answer
    x = 7,382.60

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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.