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Finding the Fourth Proportional to 9,339.67, 13,941.14 and 8,232.54

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Solution

The fourth proportional to 9,339.67, 13,941.14 and 8,232.54 is: 12,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.67 : 13,941.14 = 8,232.54 : x
  2. Step 2: Convert to fraction form
    9,339.67/13,941.14 = 8,232.54/x
  3. Step 3: Cross multiply
    9,339.67x = 13,941.14 × 8,232.54
  4. Step 4: Simplify right side
    9,339.67x = 114,770,992.70
  5. Step 5: Solve for x
    x = 114,770,992.70/9,339.67
  6. Step 6: Final answer
    x = 12,288.55

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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.