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Finding the Fourth Proportional to 12,891.95, 19,335.50 and 6,313.94

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Solution

The fourth proportional to 12,891.95, 19,335.50 and 6,313.94 is: 9,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.95 : 19,335.50 = 6,313.94 : x
  2. Step 2: Convert to fraction form
    12,891.95/19,335.50 = 6,313.94/x
  3. Step 3: Cross multiply
    12,891.95x = 19,335.50 × 6,313.94
  4. Step 4: Simplify right side
    12,891.95x = 122,083,155.30
  5. Step 5: Solve for x
    x = 122,083,155.30/12,891.95
  6. Step 6: Final answer
    x = 9,469.72

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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.