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Finding the Fourth Proportional to 9,684.58, 13,359.78 and 6,329.36

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Solution

The fourth proportional to 9,684.58, 13,359.78 and 6,329.36 is: 8,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.58 : 13,359.78 = 6,329.36 : x
  2. Step 2: Convert to fraction form
    9,684.58/13,359.78 = 6,329.36/x
  3. Step 3: Cross multiply
    9,684.58x = 13,359.78 × 6,329.36
  4. Step 4: Simplify right side
    9,684.58x = 84,558,857.14
  5. Step 5: Solve for x
    x = 84,558,857.14/9,684.58
  6. Step 6: Final answer
    x = 8,731.29

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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.