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Finding the Fourth Proportional to 6,153.90, 9,235.56 and 3,194.77

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Solution

The fourth proportional to 6,153.90, 9,235.56 and 3,194.77 is: 4,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.90 : 9,235.56 = 3,194.77 : x
  2. Step 2: Convert to fraction form
    6,153.90/9,235.56 = 3,194.77/x
  3. Step 3: Cross multiply
    6,153.90x = 9,235.56 × 3,194.77
  4. Step 4: Simplify right side
    6,153.90x = 29,505,490.02
  5. Step 5: Solve for x
    x = 29,505,490.02/6,153.90
  6. Step 6: Final answer
    x = 4,794.60

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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.