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Finding the Fourth Proportional to 6,156.77, 9,234.82 and 1,774.05

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Solution

The fourth proportional to 6,156.77, 9,234.82 and 1,774.05 is: 2,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.77 : 9,234.82 = 1,774.05 : x
  2. Step 2: Convert to fraction form
    6,156.77/9,234.82 = 1,774.05/x
  3. Step 3: Cross multiply
    6,156.77x = 9,234.82 × 1,774.05
  4. Step 4: Simplify right side
    6,156.77x = 16,383,032.42
  5. Step 5: Solve for x
    x = 16,383,032.42/6,156.77
  6. Step 6: Final answer
    x = 2,660.98

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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.