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Finding the Fourth Proportional to 9,228, 12,734.82 and 5,502

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Solution

The fourth proportional to 9,228, 12,734.82 and 5,502 is: 7,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228 : 12,734.82 = 5,502 : x
  2. Step 2: Convert to fraction form
    9,228/12,734.82 = 5,502/x
  3. Step 3: Cross multiply
    9,228x = 12,734.82 × 5,502
  4. Step 4: Simplify right side
    9,228x = 70,066,979.64
  5. Step 5: Solve for x
    x = 70,066,979.64/9,228
  6. Step 6: Final answer
    x = 7,592.87

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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.