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Finding the Fourth Proportional to 9,666.67, 13,240.04 and 9,099.26

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Solution

The fourth proportional to 9,666.67, 13,240.04 and 9,099.26 is: 12,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.67 : 13,240.04 = 9,099.26 : x
  2. Step 2: Convert to fraction form
    9,666.67/13,240.04 = 9,099.26/x
  3. Step 3: Cross multiply
    9,666.67x = 13,240.04 × 9,099.26
  4. Step 4: Simplify right side
    9,666.67x = 120,474,566.37
  5. Step 5: Solve for x
    x = 120,474,566.37/9,666.67
  6. Step 6: Final answer
    x = 12,462.88

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Double scale
Find fourth proportional to 9,667.67, 13,241.41 and 9,100.26
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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.