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Finding the Fourth Proportional to 9,863, 14,800.97 and 3,623.07

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Solution

The fourth proportional to 9,863, 14,800.97 and 3,623.07 is: 5,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863 : 14,800.97 = 3,623.07 : x
  2. Step 2: Convert to fraction form
    9,863/14,800.97 = 3,623.07/x
  3. Step 3: Cross multiply
    9,863x = 14,800.97 × 3,623.07
  4. Step 4: Simplify right side
    9,863x = 53,624,950.38
  5. Step 5: Solve for x
    x = 53,624,950.38/9,863
  6. Step 6: Final answer
    x = 5,436.98

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Why These Related Problems?

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