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Finding the Fourth Proportional to 9,511.65, 14,265.03 and 2,934.24

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Solution

The fourth proportional to 9,511.65, 14,265.03 and 2,934.24 is: 4,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.65 : 14,265.03 = 2,934.24 : x
  2. Step 2: Convert to fraction form
    9,511.65/14,265.03 = 2,934.24/x
  3. Step 3: Cross multiply
    9,511.65x = 14,265.03 × 2,934.24
  4. Step 4: Simplify right side
    9,511.65x = 41,857,021.63
  5. Step 5: Solve for x
    x = 41,857,021.63/9,511.65
  6. Step 6: Final answer
    x = 4,400.61

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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.