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Finding the Fourth Proportional to 6,066.34, 9,097.89 and 2,556.38

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Solution

The fourth proportional to 6,066.34, 9,097.89 and 2,556.38 is: 3,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.34 : 9,097.89 = 2,556.38 : x
  2. Step 2: Convert to fraction form
    6,066.34/9,097.89 = 2,556.38/x
  3. Step 3: Cross multiply
    6,066.34x = 9,097.89 × 2,556.38
  4. Step 4: Simplify right side
    6,066.34x = 23,257,626.02
  5. Step 5: Solve for x
    x = 23,257,626.02/6,066.34
  6. Step 6: Final answer
    x = 3,833.88

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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.