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Finding the Fourth Proportional to 9,463.97, 14,185.19 and 5,758.03

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Solution

The fourth proportional to 9,463.97, 14,185.19 and 5,758.03 is: 8,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.97 : 14,185.19 = 5,758.03 : x
  2. Step 2: Convert to fraction form
    9,463.97/14,185.19 = 5,758.03/x
  3. Step 3: Cross multiply
    9,463.97x = 14,185.19 × 5,758.03
  4. Step 4: Simplify right side
    9,463.97x = 81,678,685.32
  5. Step 5: Solve for x
    x = 81,678,685.32/9,463.97
  6. Step 6: Final answer
    x = 8,630.49

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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.