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Finding the Fourth Proportional to 6,193.07, 9,289.60 and 2,680.20

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Solution

The fourth proportional to 6,193.07, 9,289.60 and 2,680.20 is: 4,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.07 : 9,289.60 = 2,680.20 : x
  2. Step 2: Convert to fraction form
    6,193.07/9,289.60 = 2,680.20/x
  3. Step 3: Cross multiply
    6,193.07x = 9,289.60 × 2,680.20
  4. Step 4: Simplify right side
    6,193.07x = 24,897,985.92
  5. Step 5: Solve for x
    x = 24,897,985.92/6,193.07
  6. Step 6: Final answer
    x = 4,020.30

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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.