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Finding the Fourth Proportional to 6,712.14, 9,260.85 and 4,196.79

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Solution

The fourth proportional to 6,712.14, 9,260.85 and 4,196.79 is: 5,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.14 : 9,260.85 = 4,196.79 : x
  2. Step 2: Convert to fraction form
    6,712.14/9,260.85 = 4,196.79/x
  3. Step 3: Cross multiply
    6,712.14x = 9,260.85 × 4,196.79
  4. Step 4: Simplify right side
    6,712.14x = 38,865,842.67
  5. Step 5: Solve for x
    x = 38,865,842.67/6,712.14
  6. Step 6: Final answer
    x = 5,790.38

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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.