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Finding the Fourth Proportional to 6,668.20, 9,989.10 and 5,847.40

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Solution

The fourth proportional to 6,668.20, 9,989.10 and 5,847.40 is: 8,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.20 : 9,989.10 = 5,847.40 : x
  2. Step 2: Convert to fraction form
    6,668.20/9,989.10 = 5,847.40/x
  3. Step 3: Cross multiply
    6,668.20x = 9,989.10 × 5,847.40
  4. Step 4: Simplify right side
    6,668.20x = 58,410,263.34
  5. Step 5: Solve for x
    x = 58,410,263.34/6,668.20
  6. Step 6: Final answer
    x = 8,759.52

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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.