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Finding the Fourth Proportional to 6,850.98, 9,454.37 and 3,707.15

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Solution

The fourth proportional to 6,850.98, 9,454.37 and 3,707.15 is: 5,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.98 : 9,454.37 = 3,707.15 : x
  2. Step 2: Convert to fraction form
    6,850.98/9,454.37 = 3,707.15/x
  3. Step 3: Cross multiply
    6,850.98x = 9,454.37 × 3,707.15
  4. Step 4: Simplify right side
    6,850.98x = 35,048,701.94
  5. Step 5: Solve for x
    x = 35,048,701.94/6,850.98
  6. Step 6: Final answer
    x = 5,115.87

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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.