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Finding the Fourth Proportional to 9,196.85, 12,694.34 and 6,010.61

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Solution

The fourth proportional to 9,196.85, 12,694.34 and 6,010.61 is: 8,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.85 : 12,694.34 = 6,010.61 : x
  2. Step 2: Convert to fraction form
    9,196.85/12,694.34 = 6,010.61/x
  3. Step 3: Cross multiply
    9,196.85x = 12,694.34 × 6,010.61
  4. Step 4: Simplify right side
    9,196.85x = 76,300,728.63
  5. Step 5: Solve for x
    x = 76,300,728.63/9,196.85
  6. Step 6: Final answer
    x = 8,296.40

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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.