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Finding the Fourth Proportional to 6,864.49, 9,473.07 and 3,880.36

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Solution

The fourth proportional to 6,864.49, 9,473.07 and 3,880.36 is: 5,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.49 : 9,473.07 = 3,880.36 : x
  2. Step 2: Convert to fraction form
    6,864.49/9,473.07 = 3,880.36/x
  3. Step 3: Cross multiply
    6,864.49x = 9,473.07 × 3,880.36
  4. Step 4: Simplify right side
    6,864.49x = 36,758,921.91
  5. Step 5: Solve for x
    x = 36,758,921.91/6,864.49
  6. Step 6: Final answer
    x = 5,354.94

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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.