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Finding the Fourth Proportional to 6,864.85, 9,473.45 and 3,881.21

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Solution

The fourth proportional to 6,864.85, 9,473.45 and 3,881.21 is: 5,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.85 : 9,473.45 = 3,881.21 : x
  2. Step 2: Convert to fraction form
    6,864.85/9,473.45 = 3,881.21/x
  3. Step 3: Cross multiply
    6,864.85x = 9,473.45 × 3,881.21
  4. Step 4: Simplify right side
    6,864.85x = 36,768,453.15
  5. Step 5: Solve for x
    x = 36,768,453.15/6,864.85
  6. Step 6: Final answer
    x = 5,356.05

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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.