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Finding the Fourth Proportional to 9,673.71, 13,349.82 and 5,896.36

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Solution

The fourth proportional to 9,673.71, 13,349.82 and 5,896.36 is: 8,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.71 : 13,349.82 = 5,896.36 : x
  2. Step 2: Convert to fraction form
    9,673.71/13,349.82 = 5,896.36/x
  3. Step 3: Cross multiply
    9,673.71x = 13,349.82 × 5,896.36
  4. Step 4: Simplify right side
    9,673.71x = 78,715,344.66
  5. Step 5: Solve for x
    x = 78,715,344.66/9,673.71
  6. Step 6: Final answer
    x = 8,137.04

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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.