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Finding the Fourth Proportional to 9,205.38, 13,809.96 and 2,966.22

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Solution

The fourth proportional to 9,205.38, 13,809.96 and 2,966.22 is: 4,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.38 : 13,809.96 = 2,966.22 : x
  2. Step 2: Convert to fraction form
    9,205.38/13,809.96 = 2,966.22/x
  3. Step 3: Cross multiply
    9,205.38x = 13,809.96 × 2,966.22
  4. Step 4: Simplify right side
    9,205.38x = 40,963,379.55
  5. Step 5: Solve for x
    x = 40,963,379.55/9,205.38
  6. Step 6: Final answer
    x = 4,449.94

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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.