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Finding the Fourth Proportional to 6,098.34, 9,143.76 and 2,396.12

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Solution

The fourth proportional to 6,098.34, 9,143.76 and 2,396.12 is: 3,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.34 : 9,143.76 = 2,396.12 : x
  2. Step 2: Convert to fraction form
    6,098.34/9,143.76 = 2,396.12/x
  3. Step 3: Cross multiply
    6,098.34x = 9,143.76 × 2,396.12
  4. Step 4: Simplify right side
    6,098.34x = 21,909,546.21
  5. Step 5: Solve for x
    x = 21,909,546.21/6,098.34
  6. Step 6: Final answer
    x = 3,592.71

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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.