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Finding the Fourth Proportional to 6,173.60, 9,250.80 and 5,194.40

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Solution

The fourth proportional to 6,173.60, 9,250.80 and 5,194.40 is: 7,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.60 : 9,250.80 = 5,194.40 : x
  2. Step 2: Convert to fraction form
    6,173.60/9,250.80 = 5,194.40/x
  3. Step 3: Cross multiply
    6,173.60x = 9,250.80 × 5,194.40
  4. Step 4: Simplify right side
    6,173.60x = 48,052,355.52
  5. Step 5: Solve for x
    x = 48,052,355.52/6,173.60
  6. Step 6: Final answer
    x = 7,783.52

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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.