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Finding the Fourth Proportional to 9,340.92, 13,943.07 and 8,233.79

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Solution

The fourth proportional to 9,340.92, 13,943.07 and 8,233.79 is: 12,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.92 : 13,943.07 = 8,233.79 : x
  2. Step 2: Convert to fraction form
    9,340.92/13,943.07 = 8,233.79/x
  3. Step 3: Cross multiply
    9,340.92x = 13,943.07 × 8,233.79
  4. Step 4: Simplify right side
    9,340.92x = 114,804,240.62
  5. Step 5: Solve for x
    x = 114,804,240.62/9,340.92
  6. Step 6: Final answer
    x = 12,290.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.