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Finding the Fourth Proportional to 34,794.63, 52,195.37 and 9,834.87

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Solution

The fourth proportional to 34,794.63, 52,195.37 and 9,834.87 is: 14,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.63 : 52,195.37 = 9,834.87 : x
  2. Step 2: Convert to fraction form
    34,794.63/52,195.37 = 9,834.87/x
  3. Step 3: Cross multiply
    34,794.63x = 52,195.37 × 9,834.87
  4. Step 4: Simplify right side
    34,794.63x = 513,334,678.55
  5. Step 5: Solve for x
    x = 513,334,678.55/34,794.63
  6. Step 6: Final answer
    x = 14,753.27

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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.