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Finding the Fourth Proportional to 9,751, 14,636.22 and 5,134

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Solution

The fourth proportional to 9,751, 14,636.22 and 5,134 is: 7,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751 : 14,636.22 = 5,134 : x
  2. Step 2: Convert to fraction form
    9,751/14,636.22 = 5,134/x
  3. Step 3: Cross multiply
    9,751x = 14,636.22 × 5,134
  4. Step 4: Simplify right side
    9,751x = 75,142,353.48
  5. Step 5: Solve for x
    x = 75,142,353.48/9,751
  6. Step 6: Final answer
    x = 7,706.12

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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.