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Finding the Fourth Proportional to 9,308.14, 12,858.31 and 8,467.36

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Solution

The fourth proportional to 9,308.14, 12,858.31 and 8,467.36 is: 11,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.14 : 12,858.31 = 8,467.36 : x
  2. Step 2: Convert to fraction form
    9,308.14/12,858.31 = 8,467.36/x
  3. Step 3: Cross multiply
    9,308.14x = 12,858.31 × 8,467.36
  4. Step 4: Simplify right side
    9,308.14x = 108,875,939.76
  5. Step 5: Solve for x
    x = 108,875,939.76/9,308.14
  6. Step 6: Final answer
    x = 11,696.85

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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.