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Finding the Fourth Proportional to 9,940.73, 14,916.21 and 5,497.58

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Solution

The fourth proportional to 9,940.73, 14,916.21 and 5,497.58 is: 8,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.73 : 14,916.21 = 5,497.58 : x
  2. Step 2: Convert to fraction form
    9,940.73/14,916.21 = 5,497.58/x
  3. Step 3: Cross multiply
    9,940.73x = 14,916.21 × 5,497.58
  4. Step 4: Simplify right side
    9,940.73x = 82,003,095.06
  5. Step 5: Solve for x
    x = 82,003,095.06/9,940.73
  6. Step 6: Final answer
    x = 8,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.