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Finding the Fourth Proportional to 9,411.39, 14,120.73 and 5,511.24

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Solution

The fourth proportional to 9,411.39, 14,120.73 and 5,511.24 is: 8,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.39 : 14,120.73 = 5,511.24 : x
  2. Step 2: Convert to fraction form
    9,411.39/14,120.73 = 5,511.24/x
  3. Step 3: Cross multiply
    9,411.39x = 14,120.73 × 5,511.24
  4. Step 4: Simplify right side
    9,411.39x = 77,822,732.01
  5. Step 5: Solve for x
    x = 77,822,732.01/9,411.39
  6. Step 6: Final answer
    x = 8,268.99

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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.