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Finding the Fourth Proportional to 9,302.70, 13,961.37 and 8,209.26

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Solution

The fourth proportional to 9,302.70, 13,961.37 and 8,209.26 is: 12,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.70 : 13,961.37 = 8,209.26 : x
  2. Step 2: Convert to fraction form
    9,302.70/13,961.37 = 8,209.26/x
  3. Step 3: Cross multiply
    9,302.70x = 13,961.37 × 8,209.26
  4. Step 4: Simplify right side
    9,302.70x = 114,612,516.29
  5. Step 5: Solve for x
    x = 114,612,516.29/9,302.70
  6. Step 6: Final answer
    x = 12,320.35

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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.