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Finding the Fourth Proportional to 9,200.64, 12,697.38 and 5,222.28

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Solution

The fourth proportional to 9,200.64, 12,697.38 and 5,222.28 is: 7,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.64 : 12,697.38 = 5,222.28 : x
  2. Step 2: Convert to fraction form
    9,200.64/12,697.38 = 5,222.28/x
  3. Step 3: Cross multiply
    9,200.64x = 12,697.38 × 5,222.28
  4. Step 4: Simplify right side
    9,200.64x = 66,309,273.63
  5. Step 5: Solve for x
    x = 66,309,273.63/9,200.64
  6. Step 6: Final answer
    x = 7,207.03

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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.