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Finding the Fourth Proportional to 6,857.90, 9,464.27 and 3,873.86

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Solution

The fourth proportional to 6,857.90, 9,464.27 and 3,873.86 is: 5,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.90 : 9,464.27 = 3,873.86 : x
  2. Step 2: Convert to fraction form
    6,857.90/9,464.27 = 3,873.86/x
  3. Step 3: Cross multiply
    6,857.90x = 9,464.27 × 3,873.86
  4. Step 4: Simplify right side
    6,857.90x = 36,663,190.29
  5. Step 5: Solve for x
    x = 36,663,190.29/6,857.90
  6. Step 6: Final answer
    x = 5,346.13

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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.