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Finding the Fourth Proportional to 9,500.40, 14,249.97 and 2,926.02

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Solution

The fourth proportional to 9,500.40, 14,249.97 and 2,926.02 is: 4,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.40 : 14,249.97 = 2,926.02 : x
  2. Step 2: Convert to fraction form
    9,500.40/14,249.97 = 2,926.02/x
  3. Step 3: Cross multiply
    9,500.40x = 14,249.97 × 2,926.02
  4. Step 4: Simplify right side
    9,500.40x = 41,695,697.22
  5. Step 5: Solve for x
    x = 41,695,697.22/9,500.40
  6. Step 6: Final answer
    x = 4,388.84

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