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Finding the Fourth Proportional to 6,864.75, 9,473.78 and 3,881.09

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Solution

The fourth proportional to 6,864.75, 9,473.78 and 3,881.09 is: 5,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 9,473.78 = 3,881.09 : x
  2. Step 2: Convert to fraction form
    6,864.75/9,473.78 = 3,881.09/x
  3. Step 3: Cross multiply
    6,864.75x = 9,473.78 × 3,881.09
  4. Step 4: Simplify right side
    6,864.75x = 36,768,592.82
  5. Step 5: Solve for x
    x = 36,768,592.82/6,864.75
  6. Step 6: Final answer
    x = 5,356.14

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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.