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Finding the Fourth Proportional to 9,200.44, 12,695.97 and 5,221.63

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Solution

The fourth proportional to 9,200.44, 12,695.97 and 5,221.63 is: 7,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.44 : 12,695.97 = 5,221.63 : x
  2. Step 2: Convert to fraction form
    9,200.44/12,695.97 = 5,221.63/x
  3. Step 3: Cross multiply
    9,200.44x = 12,695.97 × 5,221.63
  4. Step 4: Simplify right side
    9,200.44x = 66,293,657.83
  5. Step 5: Solve for x
    x = 66,293,657.83/9,200.44
  6. Step 6: Final answer
    x = 7,205.49

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