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Finding the Fourth Proportional to 9,212, 12,713.76 and 5,486

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Solution

The fourth proportional to 9,212, 12,713.76 and 5,486 is: 7,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212 : 12,713.76 = 5,486 : x
  2. Step 2: Convert to fraction form
    9,212/12,713.76 = 5,486/x
  3. Step 3: Cross multiply
    9,212x = 12,713.76 × 5,486
  4. Step 4: Simplify right side
    9,212x = 69,747,687.36
  5. Step 5: Solve for x
    x = 69,747,687.36/9,212
  6. Step 6: Final answer
    x = 7,571.39

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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.