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Finding the Fourth Proportional to 9,145.44, 13,718.97 and 2,906.82

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Solution

The fourth proportional to 9,145.44, 13,718.97 and 2,906.82 is: 4,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.44 : 13,718.97 = 2,906.82 : x
  2. Step 2: Convert to fraction form
    9,145.44/13,718.97 = 2,906.82/x
  3. Step 3: Cross multiply
    9,145.44x = 13,718.97 × 2,906.82
  4. Step 4: Simplify right side
    9,145.44x = 39,878,576.38
  5. Step 5: Solve for x
    x = 39,878,576.38/9,145.44
  6. Step 6: Final answer
    x = 4,360.49

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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.