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Finding the Fourth Proportional to 9,286.92, 13,895.22 and 5,729.88

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Solution

The fourth proportional to 9,286.92, 13,895.22 and 5,729.88 is: 8,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.92 : 13,895.22 = 5,729.88 : x
  2. Step 2: Convert to fraction form
    9,286.92/13,895.22 = 5,729.88/x
  3. Step 3: Cross multiply
    9,286.92x = 13,895.22 × 5,729.88
  4. Step 4: Simplify right side
    9,286.92x = 79,617,943.17
  5. Step 5: Solve for x
    x = 79,617,943.17/9,286.92
  6. Step 6: Final answer
    x = 8,573.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.