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Finding the Fourth Proportional to 9,511.74, 14,254.83 and 3,958.65

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Solution

The fourth proportional to 9,511.74, 14,254.83 and 3,958.65 is: 5,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.74 : 14,254.83 = 3,958.65 : x
  2. Step 2: Convert to fraction form
    9,511.74/14,254.83 = 3,958.65/x
  3. Step 3: Cross multiply
    9,511.74x = 14,254.83 × 3,958.65
  4. Step 4: Simplify right side
    9,511.74x = 56,429,882.78
  5. Step 5: Solve for x
    x = 56,429,882.78/9,511.74
  6. Step 6: Final answer
    x = 5,932.66

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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.