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Finding the Fourth Proportional to 9,694.56, 14,513.14 and 5,984.87

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Solution

The fourth proportional to 9,694.56, 14,513.14 and 5,984.87 is: 8,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.56 : 14,513.14 = 5,984.87 : x
  2. Step 2: Convert to fraction form
    9,694.56/14,513.14 = 5,984.87/x
  3. Step 3: Cross multiply
    9,694.56x = 14,513.14 × 5,984.87
  4. Step 4: Simplify right side
    9,694.56x = 86,859,153.70
  5. Step 5: Solve for x
    x = 86,859,153.70/9,694.56
  6. Step 6: Final answer
    x = 8,959.58

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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.