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Finding the Fourth Proportional to 6,156.53, 9,234.83 and 1,774.09

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Solution

The fourth proportional to 6,156.53, 9,234.83 and 1,774.09 is: 2,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.53 : 9,234.83 = 1,774.09 : x
  2. Step 2: Convert to fraction form
    6,156.53/9,234.83 = 1,774.09/x
  3. Step 3: Cross multiply
    6,156.53x = 9,234.83 × 1,774.09
  4. Step 4: Simplify right side
    6,156.53x = 16,383,419.55
  5. Step 5: Solve for x
    x = 16,383,419.55/6,156.53
  6. Step 6: Final answer
    x = 2,661.15

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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.