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Finding the Fourth Proportional to 12,857.52, 19,288.41 and 6,284.37

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Solution

The fourth proportional to 12,857.52, 19,288.41 and 6,284.37 is: 9,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.52 : 19,288.41 = 6,284.37 : x
  2. Step 2: Convert to fraction form
    12,857.52/19,288.41 = 6,284.37/x
  3. Step 3: Cross multiply
    12,857.52x = 19,288.41 × 6,284.37
  4. Step 4: Simplify right side
    12,857.52x = 121,215,505.15
  5. Step 5: Solve for x
    x = 121,215,505.15/12,857.52
  6. Step 6: Final answer
    x = 9,427.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.