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Finding the Fourth Proportional to 9,200.67, 12,695.18 and 5,844.03

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Solution

The fourth proportional to 9,200.67, 12,695.18 and 5,844.03 is: 8,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.67 : 12,695.18 = 5,844.03 : x
  2. Step 2: Convert to fraction form
    9,200.67/12,695.18 = 5,844.03/x
  3. Step 3: Cross multiply
    9,200.67x = 12,695.18 × 5,844.03
  4. Step 4: Simplify right side
    9,200.67x = 74,190,983.56
  5. Step 5: Solve for x
    x = 74,190,983.56/9,200.67
  6. Step 6: Final answer
    x = 8,063.65

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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.