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Finding the Fourth Proportional to 9,234.38, 12,734.95 and 6,254.59

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Solution

The fourth proportional to 9,234.38, 12,734.95 and 6,254.59 is: 8,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.38 : 12,734.95 = 6,254.59 : x
  2. Step 2: Convert to fraction form
    9,234.38/12,734.95 = 6,254.59/x
  3. Step 3: Cross multiply
    9,234.38x = 12,734.95 × 6,254.59
  4. Step 4: Simplify right side
    9,234.38x = 79,651,890.92
  5. Step 5: Solve for x
    x = 79,651,890.92/9,234.38
  6. Step 6: Final answer
    x = 8,625.58

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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.