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Finding the Fourth Proportional to 6,097.56, 9,146.34 and 2,201.88

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Solution

The fourth proportional to 6,097.56, 9,146.34 and 2,201.88 is: 3,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.56 : 9,146.34 = 2,201.88 : x
  2. Step 2: Convert to fraction form
    6,097.56/9,146.34 = 2,201.88/x
  3. Step 3: Cross multiply
    6,097.56x = 9,146.34 × 2,201.88
  4. Step 4: Simplify right side
    6,097.56x = 20,139,143.12
  5. Step 5: Solve for x
    x = 20,139,143.12/6,097.56
  6. Step 6: Final answer
    x = 3,302.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.