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Finding the Fourth Proportional to 6,093.60, 9,140.70 and 3,177.60

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Solution

The fourth proportional to 6,093.60, 9,140.70 and 3,177.60 is: 4,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.60 : 9,140.70 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    6,093.60/9,140.70 = 3,177.60/x
  3. Step 3: Cross multiply
    6,093.60x = 9,140.70 × 3,177.60
  4. Step 4: Simplify right side
    6,093.60x = 29,045,488.32
  5. Step 5: Solve for x
    x = 29,045,488.32/6,093.60
  6. Step 6: Final answer
    x = 4,766.56

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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.