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Finding the Fourth Proportional to 9,271.68, 13,892.88 and 5,105.44

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Solution

The fourth proportional to 9,271.68, 13,892.88 and 5,105.44 is: 7,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.68 : 13,892.88 = 5,105.44 : x
  2. Step 2: Convert to fraction form
    9,271.68/13,892.88 = 5,105.44/x
  3. Step 3: Cross multiply
    9,271.68x = 13,892.88 × 5,105.44
  4. Step 4: Simplify right side
    9,271.68x = 70,929,265.27
  5. Step 5: Solve for x
    x = 70,929,265.27/9,271.68
  6. Step 6: Final answer
    x = 7,650.10

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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.