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Finding the Fourth Proportional to 9,463.46, 14,203.96 and 4,786.79

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Solution

The fourth proportional to 9,463.46, 14,203.96 and 4,786.79 is: 7,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.46 : 14,203.96 = 4,786.79 : x
  2. Step 2: Convert to fraction form
    9,463.46/14,203.96 = 4,786.79/x
  3. Step 3: Cross multiply
    9,463.46x = 14,203.96 × 4,786.79
  4. Step 4: Simplify right side
    9,463.46x = 67,991,290.70
  5. Step 5: Solve for x
    x = 67,991,290.70/9,463.46
  6. Step 6: Final answer
    x = 7,184.62

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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.