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Finding the Fourth Proportional to 9,806.80, 14,705.16 and 3,232.24

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Solution

The fourth proportional to 9,806.80, 14,705.16 and 3,232.24 is: 4,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.80 : 14,705.16 = 3,232.24 : x
  2. Step 2: Convert to fraction form
    9,806.80/14,705.16 = 3,232.24/x
  3. Step 3: Cross multiply
    9,806.80x = 14,705.16 × 3,232.24
  4. Step 4: Simplify right side
    9,806.80x = 47,530,606.36
  5. Step 5: Solve for x
    x = 47,530,606.36/9,806.80
  6. Step 6: Final answer
    x = 4,846.70

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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.