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Finding the Fourth Proportional to 9,372.63, 12,934.23 and 5,180.88

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Solution

The fourth proportional to 9,372.63, 12,934.23 and 5,180.88 is: 7,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.63 : 12,934.23 = 5,180.88 : x
  2. Step 2: Convert to fraction form
    9,372.63/12,934.23 = 5,180.88/x
  3. Step 3: Cross multiply
    9,372.63x = 12,934.23 × 5,180.88
  4. Step 4: Simplify right side
    9,372.63x = 67,010,602.95
  5. Step 5: Solve for x
    x = 67,010,602.95/9,372.63
  6. Step 6: Final answer
    x = 7,149.61

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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.