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Finding the Fourth Proportional to 6,857.04, 9,462.68 and 3,873.84

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Solution

The fourth proportional to 6,857.04, 9,462.68 and 3,873.84 is: 5,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.04 : 9,462.68 = 3,873.84 : x
  2. Step 2: Convert to fraction form
    6,857.04/9,462.68 = 3,873.84/x
  3. Step 3: Cross multiply
    6,857.04x = 9,462.68 × 3,873.84
  4. Step 4: Simplify right side
    6,857.04x = 36,656,888.92
  5. Step 5: Solve for x
    x = 36,656,888.92/6,857.04
  6. Step 6: Final answer
    x = 5,345.88

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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.