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Finding the Fourth Proportional to 9,293.88, 12,821.22 and 5,755.80

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Solution

The fourth proportional to 9,293.88, 12,821.22 and 5,755.80 is: 7,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.88 : 12,821.22 = 5,755.80 : x
  2. Step 2: Convert to fraction form
    9,293.88/12,821.22 = 5,755.80/x
  3. Step 3: Cross multiply
    9,293.88x = 12,821.22 × 5,755.80
  4. Step 4: Simplify right side
    9,293.88x = 73,796,378.08
  5. Step 5: Solve for x
    x = 73,796,378.08/9,293.88
  6. Step 6: Final answer
    x = 7,940.32

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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.