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Finding the Fourth Proportional to 9,491.26, 14,201.65 and 5,964.76

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Solution

The fourth proportional to 9,491.26, 14,201.65 and 5,964.76 is: 8,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.26 : 14,201.65 = 5,964.76 : x
  2. Step 2: Convert to fraction form
    9,491.26/14,201.65 = 5,964.76/x
  3. Step 3: Cross multiply
    9,491.26x = 14,201.65 × 5,964.76
  4. Step 4: Simplify right side
    9,491.26x = 84,709,433.85
  5. Step 5: Solve for x
    x = 84,709,433.85/9,491.26
  6. Step 6: Final answer
    x = 8,924.99

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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.