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Finding the Fourth Proportional to 12,863.47, 19,264.96 and 6,268.99

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Solution

The fourth proportional to 12,863.47, 19,264.96 and 6,268.99 is: 9,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.47 : 19,264.96 = 6,268.99 : x
  2. Step 2: Convert to fraction form
    12,863.47/19,264.96 = 6,268.99/x
  3. Step 3: Cross multiply
    12,863.47x = 19,264.96 × 6,268.99
  4. Step 4: Simplify right side
    12,863.47x = 120,771,713.92
  5. Step 5: Solve for x
    x = 120,771,713.92/12,863.47
  6. Step 6: Final answer
    x = 9,388.74

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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.