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Finding the Fourth Proportional to 9,619.56, 13,245.38 and 8,200.06

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Solution

The fourth proportional to 9,619.56, 13,245.38 and 8,200.06 is: 11,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.56 : 13,245.38 = 8,200.06 : x
  2. Step 2: Convert to fraction form
    9,619.56/13,245.38 = 8,200.06/x
  3. Step 3: Cross multiply
    9,619.56x = 13,245.38 × 8,200.06
  4. Step 4: Simplify right side
    9,619.56x = 108,612,869.72
  5. Step 5: Solve for x
    x = 108,612,869.72/9,619.56
  6. Step 6: Final answer
    x = 11,290.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.