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Finding the Fourth Proportional to 6,850.90, 9,447.69 and 4,162.56

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Solution

The fourth proportional to 6,850.90, 9,447.69 and 4,162.56 is: 5,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.90 : 9,447.69 = 4,162.56 : x
  2. Step 2: Convert to fraction form
    6,850.90/9,447.69 = 4,162.56/x
  3. Step 3: Cross multiply
    6,850.90x = 9,447.69 × 4,162.56
  4. Step 4: Simplify right side
    6,850.90x = 39,326,612.97
  5. Step 5: Solve for x
    x = 39,326,612.97/6,850.90
  6. Step 6: Final answer
    x = 5,740.35

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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.