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Finding the Fourth Proportional to 6,380.20, 9,548.70 and 5,602.60

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Solution

The fourth proportional to 6,380.20, 9,548.70 and 5,602.60 is: 8,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.20 : 9,548.70 = 5,602.60 : x
  2. Step 2: Convert to fraction form
    6,380.20/9,548.70 = 5,602.60/x
  3. Step 3: Cross multiply
    6,380.20x = 9,548.70 × 5,602.60
  4. Step 4: Simplify right side
    6,380.20x = 53,497,546.62
  5. Step 5: Solve for x
    x = 53,497,546.62/6,380.20
  6. Step 6: Final answer
    x = 8,384.93

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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.