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Finding the Fourth Proportional to 9,367.83, 14,026.41 and 5,849.42

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Solution

The fourth proportional to 9,367.83, 14,026.41 and 5,849.42 is: 8,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.83 : 14,026.41 = 5,849.42 : x
  2. Step 2: Convert to fraction form
    9,367.83/14,026.41 = 5,849.42/x
  3. Step 3: Cross multiply
    9,367.83x = 14,026.41 × 5,849.42
  4. Step 4: Simplify right side
    9,367.83x = 82,046,293.05
  5. Step 5: Solve for x
    x = 82,046,293.05/9,367.83
  6. Step 6: Final answer
    x = 8,758.30

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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.