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Finding the Fourth Proportional to 9,839.40, 13,589.38 and 7,628.04

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Solution

The fourth proportional to 9,839.40, 13,589.38 and 7,628.04 is: 10,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.40 : 13,589.38 = 7,628.04 : x
  2. Step 2: Convert to fraction form
    9,839.40/13,589.38 = 7,628.04/x
  3. Step 3: Cross multiply
    9,839.40x = 13,589.38 × 7,628.04
  4. Step 4: Simplify right side
    9,839.40x = 103,660,334.22
  5. Step 5: Solve for x
    x = 103,660,334.22/9,839.40
  6. Step 6: Final answer
    x = 10,535.23

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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.