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Finding the Fourth Proportional to 37,299, 55,949.04 and 9,597

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Solution

The fourth proportional to 37,299, 55,949.04 and 9,597 is: 14,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,299 : 55,949.04 = 9,597 : x
  2. Step 2: Convert to fraction form
    37,299/55,949.04 = 9,597/x
  3. Step 3: Cross multiply
    37,299x = 55,949.04 × 9,597
  4. Step 4: Simplify right side
    37,299x = 536,942,936.88
  5. Step 5: Solve for x
    x = 536,942,936.88/37,299
  6. Step 6: Final answer
    x = 14,395.64

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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.