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Finding the Fourth Proportional to 9,305.73, 13,963.41 and 6,187.95

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Solution

The fourth proportional to 9,305.73, 13,963.41 and 6,187.95 is: 9,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.73 : 13,963.41 = 6,187.95 : x
  2. Step 2: Convert to fraction form
    9,305.73/13,963.41 = 6,187.95/x
  3. Step 3: Cross multiply
    9,305.73x = 13,963.41 × 6,187.95
  4. Step 4: Simplify right side
    9,305.73x = 86,404,882.91
  5. Step 5: Solve for x
    x = 86,404,882.91/9,305.73
  6. Step 6: Final answer
    x = 9,285.13

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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.