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Finding the Fourth Proportional to 6,992.12, 9,648.70 and 3,805.40

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Solution

The fourth proportional to 6,992.12, 9,648.70 and 3,805.40 is: 5,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.12 : 9,648.70 = 3,805.40 : x
  2. Step 2: Convert to fraction form
    6,992.12/9,648.70 = 3,805.40/x
  3. Step 3: Cross multiply
    6,992.12x = 9,648.70 × 3,805.40
  4. Step 4: Simplify right side
    6,992.12x = 36,717,162.98
  5. Step 5: Solve for x
    x = 36,717,162.98/6,992.12
  6. Step 6: Final answer
    x = 5,251.22

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