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Finding the Fourth Proportional to 8,964.73, 12,365.58 and 5,782.09

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Solution

The fourth proportional to 8,964.73, 12,365.58 and 5,782.09 is: 7,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.73 : 12,365.58 = 5,782.09 : x
  2. Step 2: Convert to fraction form
    8,964.73/12,365.58 = 5,782.09/x
  3. Step 3: Cross multiply
    8,964.73x = 12,365.58 × 5,782.09
  4. Step 4: Simplify right side
    8,964.73x = 71,498,896.46
  5. Step 5: Solve for x
    x = 71,498,896.46/8,964.73
  6. Step 6: Final answer
    x = 7,975.58

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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.