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Finding the Fourth Proportional to 6,105.60, 9,158.42 and 2,208.44

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Solution

The fourth proportional to 6,105.60, 9,158.42 and 2,208.44 is: 3,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.60 : 9,158.42 = 2,208.44 : x
  2. Step 2: Convert to fraction form
    6,105.60/9,158.42 = 2,208.44/x
  3. Step 3: Cross multiply
    6,105.60x = 9,158.42 × 2,208.44
  4. Step 4: Simplify right side
    6,105.60x = 20,225,821.06
  5. Step 5: Solve for x
    x = 20,225,821.06/6,105.60
  6. Step 6: Final answer
    x = 3,312.67

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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.