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Finding the Fourth Proportional to 6,204.60, 9,296.10 and 5,232.60

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Solution

The fourth proportional to 6,204.60, 9,296.10 and 5,232.60 is: 7,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.60 : 9,296.10 = 5,232.60 : x
  2. Step 2: Convert to fraction form
    6,204.60/9,296.10 = 5,232.60/x
  3. Step 3: Cross multiply
    6,204.60x = 9,296.10 × 5,232.60
  4. Step 4: Simplify right side
    6,204.60x = 48,642,772.86
  5. Step 5: Solve for x
    x = 48,642,772.86/6,204.60
  6. Step 6: Final answer
    x = 7,839.79

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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.