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Finding the Fourth Proportional to 9,807.18, 14,711.49 and 3,963.66

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Solution

The fourth proportional to 9,807.18, 14,711.49 and 3,963.66 is: 5,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.18 : 14,711.49 = 3,963.66 : x
  2. Step 2: Convert to fraction form
    9,807.18/14,711.49 = 3,963.66/x
  3. Step 3: Cross multiply
    9,807.18x = 14,711.49 × 3,963.66
  4. Step 4: Simplify right side
    9,807.18x = 58,311,344.45
  5. Step 5: Solve for x
    x = 58,311,344.45/9,807.18
  6. Step 6: Final answer
    x = 5,945.78

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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.