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Finding the Fourth Proportional to 6,232.80, 9,345.60 and 2,337.60

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Solution

The fourth proportional to 6,232.80, 9,345.60 and 2,337.60 is: 3,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.80 : 9,345.60 = 2,337.60 : x
  2. Step 2: Convert to fraction form
    6,232.80/9,345.60 = 2,337.60/x
  3. Step 3: Cross multiply
    6,232.80x = 9,345.60 × 2,337.60
  4. Step 4: Simplify right side
    6,232.80x = 21,846,274.56
  5. Step 5: Solve for x
    x = 21,846,274.56/6,232.80
  6. Step 6: Final answer
    x = 3,505.05

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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.