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Finding the Fourth Proportional to 9,882.98, 13,632.09 and 6,340.58

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Solution

The fourth proportional to 9,882.98, 13,632.09 and 6,340.58 is: 8,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.98 : 13,632.09 = 6,340.58 : x
  2. Step 2: Convert to fraction form
    9,882.98/13,632.09 = 6,340.58/x
  3. Step 3: Cross multiply
    9,882.98x = 13,632.09 × 6,340.58
  4. Step 4: Simplify right side
    9,882.98x = 86,435,357.21
  5. Step 5: Solve for x
    x = 86,435,357.21/9,882.98
  6. Step 6: Final answer
    x = 8,745.88

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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.