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Finding the Fourth Proportional to 9,276.46, 12,801.25 and 5,297.49

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Solution

The fourth proportional to 9,276.46, 12,801.25 and 5,297.49 is: 7,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.46 : 12,801.25 = 5,297.49 : x
  2. Step 2: Convert to fraction form
    9,276.46/12,801.25 = 5,297.49/x
  3. Step 3: Cross multiply
    9,276.46x = 12,801.25 × 5,297.49
  4. Step 4: Simplify right side
    9,276.46x = 67,814,493.86
  5. Step 5: Solve for x
    x = 67,814,493.86/9,276.46
  6. Step 6: Final answer
    x = 7,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.