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Finding the Fourth Proportional to 9,636.48, 14,453.10 and 3,794.76

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Solution

The fourth proportional to 9,636.48, 14,453.10 and 3,794.76 is: 5,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.48 : 14,453.10 = 3,794.76 : x
  2. Step 2: Convert to fraction form
    9,636.48/14,453.10 = 3,794.76/x
  3. Step 3: Cross multiply
    9,636.48x = 14,453.10 × 3,794.76
  4. Step 4: Simplify right side
    9,636.48x = 54,846,045.76
  5. Step 5: Solve for x
    x = 54,846,045.76/9,636.48
  6. Step 6: Final answer
    x = 5,691.50

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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.