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Finding the Fourth Proportional to 6,102.90, 9,143.42 and 5,774.85

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Solution

The fourth proportional to 6,102.90, 9,143.42 and 5,774.85 is: 8,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.90 : 9,143.42 = 5,774.85 : x
  2. Step 2: Convert to fraction form
    6,102.90/9,143.42 = 5,774.85/x
  3. Step 3: Cross multiply
    6,102.90x = 9,143.42 × 5,774.85
  4. Step 4: Simplify right side
    6,102.90x = 52,801,850.11
  5. Step 5: Solve for x
    x = 52,801,850.11/6,102.90
  6. Step 6: Final answer
    x = 8,651.93

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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.