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Finding the Fourth Proportional to 6,456.97, 8,913.57 and 4,964.36

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Solution

The fourth proportional to 6,456.97, 8,913.57 and 4,964.36 is: 6,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.97 : 8,913.57 = 4,964.36 : x
  2. Step 2: Convert to fraction form
    6,456.97/8,913.57 = 4,964.36/x
  3. Step 3: Cross multiply
    6,456.97x = 8,913.57 × 4,964.36
  4. Step 4: Simplify right side
    6,456.97x = 44,250,192.65
  5. Step 5: Solve for x
    x = 44,250,192.65/6,456.97
  6. Step 6: Final answer
    x = 6,853.09

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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.