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Finding the Fourth Proportional to 9,638, 13,300.44 and 5,222

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Solution

The fourth proportional to 9,638, 13,300.44 and 5,222 is: 7,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 13,300.44 = 5,222 : x
  2. Step 2: Convert to fraction form
    9,638/13,300.44 = 5,222/x
  3. Step 3: Cross multiply
    9,638x = 13,300.44 × 5,222
  4. Step 4: Simplify right side
    9,638x = 69,454,897.68
  5. Step 5: Solve for x
    x = 69,454,897.68/9,638
  6. Step 6: Final answer
    x = 7,206.36

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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.