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Finding the Fourth Proportional to 9,253.96, 13,882.25 and 3,011.97

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Solution

The fourth proportional to 9,253.96, 13,882.25 and 3,011.97 is: 4,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.96 : 13,882.25 = 3,011.97 : x
  2. Step 2: Convert to fraction form
    9,253.96/13,882.25 = 3,011.97/x
  3. Step 3: Cross multiply
    9,253.96x = 13,882.25 × 3,011.97
  4. Step 4: Simplify right side
    9,253.96x = 41,812,836.06
  5. Step 5: Solve for x
    x = 41,812,836.06/9,253.96
  6. Step 6: Final answer
    x = 4,518.37

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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.