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Finding the Fourth Proportional to 9,463.97, 12,965.70 and 9,109.26

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Solution

The fourth proportional to 9,463.97, 12,965.70 and 9,109.26 is: 12,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.97 : 12,965.70 = 9,109.26 : x
  2. Step 2: Convert to fraction form
    9,463.97/12,965.70 = 9,109.26/x
  3. Step 3: Cross multiply
    9,463.97x = 12,965.70 × 9,109.26
  4. Step 4: Simplify right side
    9,463.97x = 118,107,932.38
  5. Step 5: Solve for x
    x = 118,107,932.38/9,463.97
  6. Step 6: Final answer
    x = 12,479.75

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.