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Finding the Fourth Proportional to 9,212.99, 12,713.92 and 5,021.24

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Solution

The fourth proportional to 9,212.99, 12,713.92 and 5,021.24 is: 6,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.99 : 12,713.92 = 5,021.24 : x
  2. Step 2: Convert to fraction form
    9,212.99/12,713.92 = 5,021.24/x
  3. Step 3: Cross multiply
    9,212.99x = 12,713.92 × 5,021.24
  4. Step 4: Simplify right side
    9,212.99x = 63,839,580.09
  5. Step 5: Solve for x
    x = 63,839,580.09/9,212.99
  6. Step 6: Final answer
    x = 6,929.30

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1.5x scale

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.