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Finding the Fourth Proportional to 9,599.49, 14,401.17 and 3,756

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Solution

The fourth proportional to 9,599.49, 14,401.17 and 3,756 is: 5,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.49 : 14,401.17 = 3,756 : x
  2. Step 2: Convert to fraction form
    9,599.49/14,401.17 = 3,756/x
  3. Step 3: Cross multiply
    9,599.49x = 14,401.17 × 3,756
  4. Step 4: Simplify right side
    9,599.49x = 54,090,794.52
  5. Step 5: Solve for x
    x = 54,090,794.52/9,599.49
  6. Step 6: Final answer
    x = 5,634.76

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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.